LIBRARY OF CONGRESS. 



N* Soiqjrlgpfo. 



SlielfX3.c^j 9 

— T$4 



UNITED STATES OF AMERICA. 



Works of Prof. Robt. H. Thurston. 

Published by JOHN WILEY & SONS, 53 E. Tenth 
Street, New York. 



MATERIALS OF ENGINEERING. 

A work designed for Engineers, Students, and Artisans in wood, 
metal, and stone. Aiso as a TEXT-BOOK in Scientific Schools, show- 
ing the properties of the subjects treated. By Prof. R. H. Thurston. 
Well illustrated. In three parts. 
Part I THE NON-METALLIC MATERIALS OF ENGINEER- 
ING AND METALLURGY. 
With Measures in British and Metric Units, and Metric and Reduction 
T au i es 8 vo, cloth, $ 2 00 

Part II. IRON AND STEEL. 

The Ores of Iron ; Methods of Reduction ; Manufacturing Processes ; 
Chemical and Physical Properties of Iron and Steel ; Strength, Duc- 
tility, Elasticity and Resistance ; Effects of Time, Temperature, and 

repeated Strain ; Methods of Test ; Specifications 8vo, cloth, 3 50 

Part III. THE ALLOYS AND THEIR CONSTITUENTS. 

Copper, Tin, Zinc, Lead, Antimony, Bismuth, Nickel, Aluminum, etc.; 
The Brasses, Bronzes; Copper-Tin-Zinc Alloys; Other Valuable 
Alloys; Their Qualities, Peculiar Characteristics; Uses and Special 
Adaptations; Thurston's "Maximum Alloys 1 '; Strength of the 
Alloys as Commonly Made, and as Affected by Special Conditions; 

The Mechanical Treatment of Metals 8vo, cloth, 2 50 

"As intimated above, this work will form one of the most complete as 
well as modern treatises upon the Materials used in all sorts of Building 
Constructions. As a whole it forms a very comprehensive and practical 
book for Engineers, both Civil and Mechanical."— American Machinist. 

" We regard this as a most useful book for reference in its departments ; 
it should be in every Engineer's library."— Mechanical Engineer. 
MATERIALS OF CONSTRUCTION. 

A Text-book for Technical Schools, condensed from Thurston's 
"Materials of Engineering." Treating of Iron and Steel, their ores, 
manufacture, properties and uses ; the useful metals and their alloys, 
especially brasses and bronzes, and their " kalchoids " : strength, 
ductility, resistance, and elasticity, effects of prolonged and oft- 
repeated loading, crystallization and granulation; peculiar metals: 
Thurston's " maximum alloys " ; stone ; timber ; preservative pro- 
cesses, etc., etc. By Prof. Robt. H. Thurston, of Cornell University. 

Many illustrations Thick 8vo, cloth, 5 00 

"Prof. Thurston has rendered a great service to the profession by the 
publication of this thorough, yet comprehensive, text-book. . . . The 
book meets a long-felt want, and the well-known reputation of its author 
is a sufficient guarantee for its accuracy and thoroughness."— Building. 
TREATISE ON FRICTION AND LOST WORK IN MACHIN- 
ERY AND MILL WORK. 
Containing an explanation of the Theory of Friction, and an account 
of the various Lubricants in general use, with a record of various 
experiments to deduce the laws of Friction and Lubricated Surfaces, 
etc. By Prof. Robt. H. Thurston. Copiously illustrated. .8vo, cloth, 3 00 

"It is not too high praise to say that the present treatise is exhaustive 
and a complete review of the whole subject."— American Engineer. 
STATIONARY STEAM-ENGINES. 

Especially adapted to Electric Lighting Purposes. Treating of the 
Development of Steam-engines— the principles of Construction and 
Economy, with description of Moderate Speed and High Speed En- 
gines. By Prof. R. H. Thurston 12mo, cloth. 150 

" This work must prove to be of great interest to botli manufacturers and 
users of steam-engines."— Builder and Wood-worker. 



DEVELOPMENT OF THE PHILOSOPHY OF THE STEAM- 
ENGINE. 

By Prof. R. H. Thurston 12mo, cloth, $0 75 

"This small book of forty-eight pages, prepared with the care and pre- 
cision one would expect from the scholarly Director of the Sibley College of 
Engineering, contains all the popular information that the general student 
would want, and at the same time a succinct account covering so much 
ground as to be of grr rt value to the specialist."— Public Opinion. 
A MANUAL OF STEAM BOILERS, THEIR DESIGNS, CON- 
STRUCTION, AND OPERATION. 
For Technical Schools and Engineers. By Prof. R. H. Thurston. (183 

engravings in text.) Second edition 8vo. cloth, 5 00 

"We know of no other treatise on this subject that covers the ground so 
thoroughly as this, and it has the further obvious advantage ol being a new 
and fresh work, based on the most recent data and cognizant of the latest 
discoveries and devices in steam boiler-Gpnstruction. "—Mechanical Neivs. 
STEAM-BOILER EXPLOSIONS IN THEORY AND IN PRAC- 
TICE. 
Containing Causes of— Preventives— Emergencies— Low Water— Con- 
sequences— Management— Safety— Incrustation — Experimental In- 
vestigations, etc., etc., etc. By R. H. Thurston, LL.D., Dr. Eng., 
Director of Sibley College, Cornell University. With many illus- 
trations 12mo, cloth, 150 

" Prof. Thurston has had exceptional facilities for investigating the 
Causes of Boiler Explosions, and throughout this work there will be found 
matter of peculiar interest to practical men. 1 ' — American Machinist. 

" It is a work that might well be in the hands of every one having to do 
with steam boilers, either in design or use."— Engineering News. 
A HAND BOOK OF ENGINE AND BOILER TRIALS, AND 
THE USE OF THE INDICATOR AND THE BRAKE. 
By R. H. Thurston, Director of Sibley College, Cornell University. 

Second edition revised 5 00 

"Taken altogether, this book is one which every Engineer will find of 
value, containing, as it does, much information in regard to Engine and 
Boiler Trials which has heretofore been available only in the form of scat- 
tered papers in the transactions of engineering societies, pamphlet reports, 
note-books, etc." —Bailroad Gazette. 
CONVERSION TABLES. 

Of the Metric and British, or United States WEIGHTS AND MEAS- 
URES. With an Introduction by Robt. H. Thurston, A.M., C.E. 

8vo, cloth, 1 00 
"Mr. Thurston's book is an admirably useful one, and the very difficulty 
and unfamiliarity of the Metric System renders such a volume as this almost 
indispensable to Mechanics, Engineers, Students, and in fact all classes of 
people."— Mechanical News. 
REFLECTIONS ON THE MOTIVE POWER OF HEAT. 

And on Machines fitted to develop that Power. Erom the original 
French of N. L. S. Carnot. By Prof. R. H. Thurston. . . 12mo, cloth, 2 00 

From Mons. Haton de la Goupilliere, Director of the Ecole Nationale 
Superieure des Mines de Fiance, and President of La Societe d" 1 Encourage- 
ment pour I 'Industrie Nationale: 

" I have received the volume so kindly sent me, which contains the trans- 
lation of the work of Carnot. You have rendered tribute to the founder of 
the science of thermodynamics in a manner that will be appreciated by the 
whole French people." 
A MANUAL OF THE STEAM ENGINE. 

A companion to the Manual of Steam Boilers. By Prof. Robt. 

H.Thurston. 2 vols 8vo, cloth, 12 (H) 

Part I. HISTORY, STRUCTURE AND THEORY. 

For Engineers and Technical Schools. (Advanced courses.) Nearly 

900pages 8vo, cloth, i 50 

Part II. DESIGN, CONSTRUCTION AND OPERATION. 

For Engineers and Technical Schools. (Special courses in Steam 

Engineering.) Svo, cloth, 7 50 

TEXT BOOK OF THE PRIME MOTORS. 

For the Senior Year in Schools of Engineering. By Prof. It. H. 
Thurston. Ready, Fall of '92. 



HANDY TABLES, 



From Thurston's Steam-Engine Manual. 

V 



FOR USE IN LABORATORY COMPUTATIONS 
IN TECHNICAL SCHOOLS. 



NUMERICAL, TRIGONOMETRICAL, AND THERMODYNAMIC QUANTITIES; 
STEAM AND HORSE-POWER TAELES, AND RECORD- 
FORMS FOR LABORATORY USE 




T~C 



NEW YORK: 
JOHN WILEY & SONS, 

53 East Tenth Street. 
1801. 






Copyright, 1891, 

BY 

B. H. THURSTON. 



^¥ 



t . tin* 



HANDY TABLES, 

FROM THURSTON'S STEAM-ENGINE MANUAL. 



PAGE 

I. Numerical Constants; Circles; Areas; etc 4 

II. Logarithms, Common and Natural 17 

III. Mean Pressure Ratios 20 

IV. Terminal Pressures 23 

V. Heat Transfer and Transformation 24 

VI. Comparison of Thermometers 26 

VII. Volumes of Water; Densities 28 



VIII. Metric Steam Table. 



29 



IX. Metric Steam and Work Table 32 

X. Steam Table; British Units 34 

XI. Stored Energy in Steam and Water 4I 

XII. Formulas for Properties of Steam 43 

XIII. Factors of Evaporation.. 45 

XIV. Composition of Fuels 4 6 

XV. Horse-power Constants 43 



XVI. Real Ratios of Expansion. 



49 



XVII. Logs and Forms for Blanks 5 o 

XVIII. Electrical Horse-power 54 

XIX. Water Computation Table 55 

XX. Hirn's Analysis Blanks 5 7 

XXI. Heat and Power Utilization; Non-condensing Engine 59 



HANDY TABLES. 



I. 

NUMERICAL CONSTANTS. 



n 


nir 


4 


»3 


»3 


Tn 




I.O 


3.142 


O.7854 


I. OOO 


I. OOO 


1 . 0000 


1 . 0000 


I.I 


3-456 


0.9503 


I. 2IO 


1. 331 


1.0488 


1 .0323 


1.2 


3- 770 


I. I3IO 


I.440 


1.728 


1.0955 


1.0627 


1-3 


4.084 


1-3273 


I.69O 


2.197 


1 . 1402 


1. 0914 


1.4 


4-398 


1-5394 


I.96O 


2.744 


1. 1832 


1.1187 


1.5 


4.712 


I.7672 


2.250 


3.375 


1.2247 


I . 1447 


1.6 


5.027 


2.0106 


2.560 


4.096 


1 . 2649 


1. 1696 


1-7 


5-341 


2.2698 


2.89O 


4.913 


1.3038 


I-I935 


1.8 


5.655 


2.5447 


3.24O 


5.832 


1. 34i6 


I. 2164 


1.9 


5.969 


2.8353 


3.6IO 


6.859 


1.3784 


I.2386 


2.0 


6.283 


3.T416 


4.000 


8.000 


1. 4142 


I.2599 


2.1 


6-597 


3.4636 


4.4IO 


9.261 


1. 4491 


I.2806 


2.2 


6.912 


3-8013 


4.84O 


10.648 


1.4832 


1 . 3006 


2-3 


7.226 


4.1548 


5.290 


12.167 


1. 5166 


I.3200 


2.4 


7.540 


4-5239 


5.760 


13.824 


1 -5492 


1.3389 


2.? 


7.854 


4.9087 


6.250 


15-625 


1.5811 


1.3572 


2.6 


8.168 


5.3093 


6.760 


17.576 


1. 6125 


I. 3751 


2.7 


8.482 


5.7256 


7.290 


19.683 


1.6432 


1.3925 


2.8 


8.797 


6.1575 


7.84O 


21.952 


T.6733 


I.4095 


2-9 


9. in 


6.6052 


8.4IO 


24.389 


1 . 7029 


I.4260 


3.0 


9-425 


7.0686 


9.00 


27.000 


1. 7321 


I.4422 


3-1 


9-739 


7-5477 


9.6l 


29.701 


1.7607 


I. 458l 


3-2 


10.053 


8.0425 


I0.24 


32.768 


1.7889 


1.4736 


3-3 


10.367 


8.5530 


IO.89 


35.937 


1. 8166 


I.4888 


3-4 


10.681 


9.0792 


II.56 


39.304 


1 . 8439 


I.5037 


3-5 


10.996 


9.6211 


12.25 


42.875 


1.8708 


I. 5183 


3.6 


11. 310 


IO.179 


12.96 


46.656 


1.8974 


1.5326 


3-7 


11.624 


IO.752 


I3.69 


50.653 


I-9235 


1.5467 


3.8 


11.938 


II. 341 


14.44 


54.872 


1.9494 


I • 5605 


3-9 


12.252 


II.946 


15.21 


59.319 


1.9748 


I-574I 


4.0 


12.566 


12.566 


I6.00 


64.000 


2 . 0000 


1.5874 


4.1 


12.881 


13.203 


I6.8I 


68.921 


2.0249 


I.6005 


4.2 


13.195 


13.854 


17.64 


74.088 


2 . 0494 


I. 6134 


4-3 


13 509 


14.522 


I8.49 


79.507 


2.0736 


I. 6261 


4.4 


13-823 


15-205 


I9.36 


85.184 


2 . O976 


I.6386 


4-5 


14-137 


15.904 


20.25 


91.125 


2.I2I3 


I. 6510 


4-6 


I4-45I 


16.619 


2I.l6 


97.336 


2.1448 


I. 6631 


4-7 


14.765 


17-349 


22.09 


103.823 


2.I680 


I 6751 



HANDY TABLES. 
Constants — Continued. 



n 


nit 


4 


n i 


w 3 


V~ n 


3 


4-8 


15.080 


1S.096 


2304 


II0.592 


2.I9O9 


I.6869 


4.9 


15-394 


18.857 


24.01 


117.649 


2.2136 


I.6985 


5-o 


15-708 


I9-635 


25.00 


125 .OOO 


2.2361 


I. 7IOO 


5-i 


16.022 


20.428 


26.01 


132.651 


2.2583 


I. 7213 


5-2 


16.336 


21.237 


27.04 


I40.608 


2.2804 


1-7325 


5-3 


16.650 


22.062 


28.09 


148.877 


2.3022 


1-7435 


5-4 


16.965 


22.902 


29.16 


157.464 


2.3238 


1 - 7544 


5o 


17.279 


23-758 


30.25 


166.375 


2.3452 


1.7652 


5-6 


17-593 


24.630 


31.36 


175.616 


2.3664 


1.7758 


5-7 


17.907 


25-518 


32.49 


185.193 


2.3875 


1.7863 


5-3 


18.221 


26.421 


33-64 


I95. 112 


2.4083 


1.7967 


5-9 


13-535 


27.340 


34.81 


205.379 


2 . 429O 


1.8070 


6.0 


18.850 


28.274 


36.00 


2I6.000 


2.4495 


1.8171 


6.1 


19.164 


29.225 


37-21 


226.981 


2.4698 


1.8272 


6.2 


19.478 


30.191 


38.44 


238.328 


2 . 49OO 


1-8371 


6.3 


19.792 


31.173 


39-69 


250.047 


2.5IOO 


1 . 8469 


6.4 


20.106 


32.170 


40.96 


262.144 


2.5298 


1.8566 


6.5 


20.420 


33.183 


42.25 


274.625 


2-5495 


1.8663 


6.6 


20.735 


34.212 


43-56 


287.496 


2.569I 


1.8758 


6.7 


21.049 


35-257 


44.89 


3OO.763 


2.5884 


1.8852 


6.S 


21.363 


36.317 


46.24 


3I4.432 


2.6077 


1.8945 


6.9 


21.677 


37-393 


47.61 


328.509 


2.6268 


1 . 9038 


7.0 


21.991 


38.485 


49.00 


343 • 000 


2.6458 


1. 9129 


7-1 


22.305 


39-592 


50.41 


357-9" 


2.6646 


1.9220 


7.2 


22.619 


40.715 


51.84 


373-248 


2.6833 


1. 9310 


7-3 


22.934 


41-854 


53-29 


389-017 


2.7019 


1-9399 


7-4 


23.248 


43 . 008 


54-76 


405-224 


2.7203 


1.9487 


7-5 


23.562 


44-179 


56.25 


421.875 


2.7386 


1-9574 


7.6 


23.876 


45-365 


57.76 


438.976 


2.7568 


1. 9661 


7-7 


24. 190 


46.566 


59-29 


456.533 


2-7749 


1-9747 


7-8 


24.504 


47.784 


60.84 


474-552 


2.7929 


1.9832 


7-9 


24.819 


49.017 


62.41 


493.039 


2.8107 


1. 9916 


8.0 


25-133 


50.266 


64.00 


512.000 


2.8284 


2 . 0000 


S.i 


25-447 


51.530 


65.61 


53L44I 


2.8461 


2.0083 


8.2 


25.761 


52.810 


67.24 


551.468 


2.8636 


2.0165 


8.3 


26.075 


54.106 


68.89 


57I-787 


2.88IO 


2.0247 


3-4 


26.389 


55.418 


70.56 


592.704 


2.8983 


2.0328 


8.5 


26 . 704 


56.745 


72.25 


614.125 


2.9155 


2 . 0408 


8.6 


27.018 


58.088 


73.96 


636.056 


2.9326 


2.0488 


8-7 


27-332 


59-447 


75.69 


658.503 


2.9496 


2.0567 


8.8 


27.646 


60.821 


77-44 


681.473 


2.9665 


2 . 0646 


8.9 


27.960 


62.211 


79.21 


704.969 


2.9833 


2.0724 



HANDY TABLES. 
Constants — Continued. 



n 


nit 


*>7 

4 


»» 


n 3 


v„ 


3 


9 


28.274 


63.617 


81.00 


729.OOO 


3 . 0000 


2.0801 


9.1 


28.588 


65.039 


82.81 


753.571 


3.0166 


2.0878 


9.2 


28 . 903 


66.476 


84.64 


778.688 


3.0332 


2.0954 


9-3 


29.217 


67.929 


86.49 


804.357 


3-0496 


2.1029 


9.4 


29-531 


69.398 


88.36 


83O.584 


3.0659 


2. 1 105 


9-5 


29.845 


70.882 


90.25 


857.375 


3.0822 


2.1179 


9.6 


30.159 


72.382 


92.16 


884.736 


3-0984 


2.1253 


9-7 


30.473 


73.898 


94.09 


912.673 


3-H45 


2.1327 


9.8 


30.788 


75.430 


96.04 


941 . 192 


3.1305 


2 . I4OO 


9.9 


3I.I02 


76.977 


98.01 


970.299 


3.1464 


2.1472 


10. 


3i-4r6 


78.540 


100 . 00 


IOOO.OOO 


3.1623 


2.1544 


10. 1 


31.730 


80.119 


102.01 


IO3O.3OI 


3.1780 


2.l6l6 


10.2 


32.044 


81.713 


104 . 04 


I06l.208 


3-1937 


2.1687 


10.3 


32.358 


83.323 


106.09 


1092.727 


3 • 2094 


2.1757 


10.4 


32.673 


84.949 


108.16 


1124.863 


3-2249 


2.1828 


10.5 


32.987 


86.590 


110.25 


1157.625 


3.2404 


2.1897 


10.6 


33-301 


88.247 


112.36 


II9I.OI6 


3-2558 


2.I967 


10.7 


33-615 


89.920 


114.49 


1225.043 


3.2711 


2 . 2036 


10.8 


33-929 


91.609 


116.64 


1259.712 


3-2863 


2.2I04 


10.9 


34.243 


93.313 


118. 81 


1295.029 


3.3015 


2.2172 


11. 


34-558 


95.033 


121.00 


I33I.OOO 


3.3166 


2.2239 


11. 1 


34.872 


96.769 


123.21 


I367.63I 


3-3317 


2.2307 


11. 2 


35-186 


98.520 


125.44 


I4O4.928 


3 • 3466 


2.2374 


«. 3 


35-5QO 


100.29 


127.69 


1442.897 


3.3615 


2 . 244I 


11. 4 


35.814 


102.07 


129.96 


I48I.544 


3.3764 


2.2506 


11. 5 


36.128 


103.87 


132.25 


1520.875 


3.3912 


2.2572 


11. 6 


36.442 


105.68 


134-56 


I56O.896 


3.4059 


2.2637 


11. 7 


36.757 


107.51 


136.89 


I6OI.613 


3.4205 


2.2702 


11. 8 


37.071 


109.36 


139.24 


I643.O32 


3-4351 


2.2766 


11. 9 


37.385 


in. 22 


141. 61 


1685.159 


3.4496 


2.283I 


12.0 


37.699 


113. 10 


144.00 


1728.000 


3.4641 


2.2894 


12. 1 


38.013 


114.99 


146.41 


I77I.56I 


3.4785 


2.2957 


12.2 


38.327 


116.90 


148.84 


I815.848 


3.4928 


2.302I 


12.3 


38.642 


118.82 


151.29 


I860.867 


3-507I 


2.3084 


12.4 


38.956 


120.76 


153.76 


1906.624 


3-5214 


2.3146 


12.5 


39-270 


122.72 


156.25 


1953.125 


3-5355 


2.3208 


12.6 


39-584 


1 24 . 69 


158.76 


2000.376 


3.5496 


2.3270 


12.7 


39-898 


126.68 


161.29 


2O48.383 


3.5637 


2.3331 


12.8 


40 . 2 1 2 


128.68 


163.. 84 


2097.152 


3-5777 


2.3392 


12.9 


40.527 


130.70 


166.41 


2I46.689 


3.5917 


2-3453 


13-0 


40.841 


132.73 


169.00 


2197.000 


3-6056 


2.3513 


I3-I 


41.155 


134-78 


171. 61 


2248.O9I 


3.6194 


2-3573 


13.2 


4T.469 


136.85 


174.24 


2299.968 


3.6332 


2.3633 



HANDY TABLES. 
Constants — Continued. 



" 


nit 


4 


«» 


»s 


Vn 


s 


13-3 


41.783 


138.93 


176.89 


2352.637 


3-6469 


2.3693 


13-4 


42.097 


141 .03 


179.56 


2406 . 104 


3 . 6606 


2.3752 


13-5 


42.412 


143.14 


182.25 


2460.375 


3.6742 


2.3811 


13.6 


42.726 


145-27 


I84.96 


2515.456 


3.6878 


2.3870 


13.7 


43-040 


I47.4I 


I87.69 


2571.353 


3.7013 


2.3928 


13-8 


43-?54 


149-57 


I9O.44 


2628.072 


3-7148 


2.3986 


13-9 


43.668 


I5L75 


193-21 


2685.619 


3-7283 


2.4044 


14.0 


43.982 


153-94 


I96.OO 


2744.000 


3.7417 


2.4101 


14. 1 


44.296 


156.15 


I98.8I 


2803.221 


3.7550 


2.4159 


14.2 


44.611 


158.37 


20I.64 


2863.288 


3.7683 


2.4216 


14.3 


44-925 


160.61 


204.49 


2924.207 


3.7^15 


2.4272 


14.4 


45.239 


162.86 


207 . 36 


2985.984 


3-7947 


2.4329 


14.5 


45.553 


165.13 


210.25 


3048.625 


3.8079 


2.4385 


14.6 


45.867 


167.42 


2I3.I6 


3112.136 


3.8210 


2.4441 


14-7 


46.181 


169.72 


216.09 


3176.523 


3.8341 


2.4497 


14.8 


46 . 496 


172.03 


219.04 


3241.792 


3-8471 


2.4552 


14.9 


46.810 


174.37 


222.01 


3307.949 


3.8600 


2.4607 


15.0 


47.124 


176.72 


225.00 


3375.000 


3.8730 


2.4662 


15. 1 


.47.438 


179.08 


228.01 


3442.951 


3.8859 


2.4717 


15.2 


47-752 


181.46 


23I.O4 


3511.808 


3.8987 


2.4772 


15.3 


48.066 


183.85 


234.09 


3581.577 


3.9II5 


2.4825 


15.4 


48.381 


186.27 


237.16 


3652.264 


3.9243 


2.4879 


15.5 


48.695 


188.69 


240.25 


3723.875 


3.9370 


2.4933 


15.6 


49.009 


191. 13 


243.36 


3796.416 


3-9497 


2.4986 


15.7 


49-323 


193.59 


246.49 


3869.893 


3.9623 


2.5039 


15.8 


49- 6 37 


196.07 


249.64 


3944.312 


3.9749 


2.5092 


15.9 


49-951 


198.56 


252.81 


4019.679 


3-9875 


2.5146 


16.O 


50.265 


201.06 


256.OO 


4096 . 000 


4 . 0000 


2.5198 


16. 1 


50.580 


203.58 


259-21 


4173.281 


4.0125 


2.5251 


16.2 


50.894 


206.12 


262.44 


4251.528 


4.0249 


2.5303 


16.3 


51.208 


208.67 


265.69 


4330.747 


4.0373 


2.5355 


16.4 


51.522 


211.24 


268.96 


4410.944 


4.0497 


2 . 5406 


16.5 


51.836 


213.83 


272.25 


4492.125 


4.0620 


2.5458 


16.6 


52.150 


216.42 


275.56 


4574.296 


4-0743 


2.5509 


16.7 


52.465 


219.04 


278.89 


4657.463 


4.0866 


2.5561 


16.8 


52.779 


221.67 


282.24 


4741.632 


4.0988 


2.5612 


16.9 


53-093 


224.32 


285.61 


4826.809 


4.1110 


2 . 5663 


17.0 


53-407 


226 98 


289.00 


4913.000 


4.1231 


2.5713 


17. 1 


53-721 


229.66 


292.41 


5000.211 


4.1352 


2.5763 


17.2 


54-035 


132.35 


295.84 


5088.448 


4-1473 


2.5813 


17-3 


54.350 


235.06 


299.29 


5177.717 


4-1593 


2.5863 


17.4 


54.664 


237.79 


302 . 76 


5268.024 


4.I7I3 


2.5913 



HANDY TABLES. 
Constants — Continued. 






n 


nit 


4 


n* 


» a 


v„ 


s 


17-5 


54-978 


240.53 


306.25 


5359-375 


4-1833 


2.5963 


17.6 


55-292 


243.29 


309.76 


545L776 


4.1952 


2.6012 


177 


55.606 


246 . 06 


313.29 


5545-233 


4.2071 


2 . 6061 


17.8 


55.920 


248.85 


316.84 


5639-752 


4.2190 


2.6109 


17.9 


56.235 


251.65 


320.41 


5735.339 


4.2308 


2.6158 


18.0 


56.549 


254.47 


" 324.00 


5832.000 


4.2426 


2.6207 


18. 1 


56.863 


257.30 


327.61 


5929.741 


4.2544 


2.6256 


18.2 


57-177 


260.16 


33L24 


6028.568 


4.2661 


2 . 6304 


18.3 


57-491 


263.02 


334.89 


6128.487 


4.2778 


2.6352 


18.4 


57.805 


265.9O 


338.56 


6229.504 


4.2895 


2 . 64OI 


18.5 


58.119 


268.80 


342.25 


6331.625 


4.3012 


2 . 6448 


18.6 


58.434 


271.72 


345.96 


6434.856 


4.312S 


2.6495 


18.7 


58.748 


274.65 


349.69 


6539.203 


•4.3243 


2.6543 


18.8 


59.062 


277-59 


353-44 


6644.672 


4-3359 


2.6590 


18.9 


59-376 


280.55 


357-21 


6751.269 


4-3474 


2.6637 


19.0 


59-690 


283.53 


361.00 


6859.000 


4.3589 


2 . 66S4 


19. 1 


60 . 004 


286.52 


364.81 


6967.871 


4.3703 


2.673I 


19.2 


60.319 


2S9.53 


368.64 


7077.888 


4.3818 


2.6777 


19-3 


60,633 


292.55 


372.49 


7189.057 


4-3932 


2.6824 


19-4 


60.947 


295.59 


376.36 


7301.384 


4.4045 


2.6869 


19-5 


61.261 


298.65 


380.25 


7414-875 


4.4T59 


2.6916 


19.6 


6i.575 


301.72 


384.16 


7529-536 


4.4272 


2.6962 


19-7 


61.889 


304.81 


388.09 


7645-373 


4-4385 


2 . 7008 


19.8 


62.204 


307.91 


392.04 


7762.392 


4-4497 


2.7053 


19.9 


62.518 


311.03 


396.01 


7880.599 


4 . 4609 


2 . 7098 


20.0 


62.832 


314.16 


400.00 


8000 . 000 


4.4721 


2.7144 


20. 1 


63.146 


3I7.3I 


404.01 


8120.601 


4-4833 


2.7189 


20.2 


63.460 


320.47 


408.04 


8242.408 


4-4944 


2.7234 


20.3 


63.774 


323.66 


412.09 


8365.427 


4-5055 


2.7279 


20.4 


64.088 


326.85 


416.16 


8489.664 


4.5166 


2.7324 


20.5 


64.403 


330.06 


420.25 


8615.125 


4.5277 


2.7368 


20.6 


64.717 


333-29 


424.36 


8741.816 


4.5387 


2.7413 


20.7 


65.031 


336.54 


428.49 


8869.743 


4-5497 


2-7457 


20.8 


65-345 


339-8o 


432.64 


8989.912 


4.5607 


2.7502 


20.9 


05.659 


343-07 


436.81 


9129.329 


4-5716 


2-7545 


21.0 


65-973 


346.36 


441.00 


9261.000 


4.5826 


2.7589 


21. 1 


66.288 


349-67 


445.21 


9393-931 


4-5935 


2.7633 


21.2 


66.602 


352.99 


449.44 


9528.128 


4-6043 


2.7676 


21.3 


66.916 


356.33 


453-69 


9663-597 


4.6152 


2.7720 


21.4 


67.230 


359-68 


457-96 


9800.344 


4.6260 


2.7763 


21.5 


67.544 


363-05 


462.25 


9938.375 


4.6368 


2.7806 


21.6 


67.858 


366.44 


466.56 


10077.696 


4.6476 


2.7849 


21.7 


68.173 


369.84 


470.89 


10218.313 


4.6583 


2.7893 



HANDY TABLES. 
Constants — Continued. 



n 


nir 


« a - 

4 


«* 


»■ 


fit 


h 


21.8 


6S.4S7 


373.25 


475.24 


10360.232 


4 . 6690 


2.7935 


21-9 


68.SOI 


376.69 


479.61 


10503.459 


4.6797 


2.7978 


22.0 


69.115 


380.13 


484.00 


10648.000 


4 . 6904 


2.8021 


22.1 


69.429 


383.60 


488.41 


10793.861 


4.7011 


2 . 8063 


22.2 


69-743 


387.08 


492.84 


1094 1 .048 


4-7II7 


2.8105 


22.3 


70.058 


390-57 


497.29 


11089.567 


4.7223 


2.8147 


22.4 


70.372 


394.08 


501.76 


11239.424 


4.7329 


2.8189 


22.5 


70.686 


397-61 


506.25 


11390.625 


4-7434 


2.8231 


22.6 


71.OOO 


401.15 


510.76 


II543.I76 


4-7539 


2.8273 


22. -J 


71.314 


404.71 


515-29 


11697.083 


4.7644 


2.8314 


22.8 


71.268 


408.28 


519.84 


11852.352 


4-7749 


2.8356 


22.9 


71.942 


411.87 


524.41 


12008.989 


4.7854 


2.8397 


23.0 


72.257 


4I5.48 


529.00 


12167.000 


4.7958 


2.8438 


23-1 


72.571 


419.10 


533-6i 


12326.391 


4.8062 


2.8479 


23.2 


72.885 


422.73 


538.24 


12487.168 


4.8166 


2.8521 


23-3 


73-199 


426.39 


542.89 


12649.337 


4-8270 


2.8562 


23.4 


73.513 


430.05 


547-56 


12812.904 


4-8373 


2 . 8603 


23-5 


73.827 


433-74 


552.25 


12977.875 


4.8477 


2.8643 


23.6 


74.142 


437-44 


556.96 


13144.256 


4.8580 


2.8684 


23-7 


74-456 


44I-T5 


561.69 


13312.053 


4.8683 


2.8724 


23. S 


74-77Q 


444.88 


566.44 


13481.272 


4.8785 


2.8765 


23-9 


75.084 


448.63 


571.21 


13651.919 


4.8888 


2 . 8805 


24.0 


75.398 


452.39 


576-00 


13824.000 


4.8990 


2.8845 


24.1 


75-712 


456.17 


580.81 


13997.521 


4.9092 


2.8885 


24.2 


76.027 


459.96 


585.64 


14172.488 


4-9!93 


2.8925 


24-3 


76.341 


463.77 


590.49 


14348.907 


4.9295 


2.8965 


24.4 


76.655 


467.60 


595-36 


14526.784 


4.9396 


2 . 9004 


24.5 


76.969 


471.44 


600.25 


14706.125 


4.9497 


2 . 9044 


24.6 


77.283 


475-29 


605.16 


14886.936 


4.9598 


2.90S3 


24.7 


77-597 


479.16 


610.09 


15069.223 


4.9699 


2.9123 


24.8 


77-9U 


483-05 


615.04 


15252.992 


4.9799 


2.9162 


24.9 


78.226 


486.96 


620.01 


15438.249 


4.9899 


2.9201 


25.0 


78.540 


490.87 


625.00 


15625.000 


5 . 0000 


2.9241 


25.I 


78.854 


494.81 


630.01 


15813-251 


5-0099 


2.9279 


25.2 


79.168 


498.76 


635.04 


16003.008 


5.0199 


2.9318 


25-3 


79.482 


502.73 


640.09 


16194.277 


5-0299 


2.9356 


25.4 


79.796 


506.71 


645.16 


16387.064 


5.0398 


2.9395 


25-5 


80. in 


510.71 


650.25 


16581.375 


5-0497 


2.9434 


25.6 


80.425 


5I4-72 


655o6 


16777.216 


5.0596 


2.9472 


25-7 


80.739 


518.75 


660.49 


16974.593 


5.0695 


2.9510 


25.8 


81.053 


522.79 


665.64 


I7I73-5I2 


5.0793 


2.9549 


25-9 


81.367 


526.85 


670.81 


17373-979 


5.0892 


2.9586 



IO 



HANDY TABLES. 

Constants — Continued. 



It 


nit 


4 


«» 


«' 


*« 


3 

Vn 


26.0 


81.681 


530.93 


676 . 00 


I7576.000 


5.0990 


2 . 9624 


26.1 


8l .996 


535.02 


681.21 


17779.581 


5.1088 


2,9662 


26.2 


82.310 


539-13 


686.44 


17984.728 


5-1185 


2.97OI 


26.3 


82.624 


543.25 


691.69 


I819I.447 


5-1283 


2.9738 


26.4 


82.938 


547.39 


696 . 96 


I8399.744 


5.1380 


2.9776 


26.5 


83.252 


551-55 


702.25 


I8609.625 


5 • 1478 


2.9814 


26.6 


83.566 


555-72 


707.56 


I882I.O96 


5.1575 


2.9851 


26.7 


83.881 


559-90 


712.89 


I9O34.163 


5.1672 


2.9888 


26.8 


84.195 


564.10 


718.24 


I9248.832 


r.1768 


2.9926 


26.9 


84.509 


568.32 


723.61 


I9465.IO9 


5.1865 


2.9963 


27.0 


84.823 


572.56 


729.00 


I9683.OOO 


5 . 1962 


3.0000 


27.1 


85.137 


576.80 


734.41 


19902. 5.1 r 


5.2057 


3-0037 


27.2 


85.451 


581.07 


739-84 


20123.648 


5.2153 


3.OO74 


27-3 


85.765 


585.35 


745.29 


20346.417 


5.2249 


3-oin 


27.4 


86.080 


589-65 


750.76 


20570.824 


5.2345 


3-OI47 


27.5 


86.394 


593-96 


756.25 


20796.875 


5.2440 


3.0184 


27.6 


86.708 


598.29 


761.76 


21024.576 


5.2535 


3.0221 


27.7 


87.022 


602 . 63 


767.29 


21253.933 


5.2630 


3.0257 


27.8 


87.336 


606 . 99 


, 772.84 


21484.952 


5-2725 


3.0293 


27.9 


87.650 


611.36 


778.41 


21717.639 


5.2820 


3-0330 


28.0 


87.965 


615.75 


784.00 


21952.000 


5-2915 


3 • 0366 


28.1 


88.279 


620.16 


789.61 


22188.041 


5.3009 


3 • 0402 


28.2 


88.593 


624.58 


795-24 


2242L.768 


5-3I03 


3-0438 


28.3 


88.907 


629.02 


800.89 


22 65.187 


5.3I97 


3- 0474 


28.4 


89.221 


633-47 


806.56 


22906.304 


5.3291 


3.0510 


28.5 


89-535 


637.94 


812.25 


23149.125 


5.3385 


3.0546 


28.6 


89.850 


642 . 42 


817.96 


23393.656 


5.3478 


3-0581 


28.7 


90. 164 


646.93 


823.69 


23639.903 


5-3572 


3.0617 


28.8 


90.478 


651.44 


829.44 


23887.872 


5-3665 


3.0652 


28.9 


90.792 


655-97 


835-21 


24137.569 


5-3758 


3.0688 


29.0 


91.106* 


660.52 


841.00 


24389.000 


5.3852 


3-0723 


29.1 


91.420 


665.08 


846.81 


24642.171 


5-3944 


3-0758 


29.2 


91-735 


669.66 


852.64 


24897.088 


5-4037 


3- 0794 


29-3 


92.049 


674.26 


858.49 


25153.757 


5.4129 


3.0829 


29.4 


92.363 


678.87 


864.36 


25412.184 


5.4221 


3.0864 


29 -5 


92.677 


683.49 


870.25 


25672.375 


5.4313 


3.0899 


29.6 


92.991 


688.13 


876.16 


25934.336 


5-4405 


3-0934 


29.7 


93.305 


692.79 


882.09 


2619S.073 


' 5-4497 


3.0968 


29.8 


93.619 


697.47 


888.04 


26463.592 


5.4589 


3 • 1003 


29.9 


93-934 


702.15 


894.01 


26730.899 


5.4680 


3-1038 


30.0 


94.248 


706 . 86 


900 . 00 


27000.000 


5.4772 


3.1072 


30.1 


94.562 


711.58 


906.01 


27270.901 


5.4863 


3.1107 


30.2 


94.876 


716.32 


912.04 


27543.608 


5-4954 


3-1141 



HANDY TABLES. 
Constants — Continued. 



II 



n 


- 


IT 

4 


« 2 


«> 


Vn 


h 


30.3 


95.190 


72I.07 


918.09 


27818.127 


5 • 5045 


3. 1 176 


30-4 


95-505 


725. S3 


924.16 


28094.464 


5-5136 


3.1210 


30-5 


95.819 


730.62 


930.25 


28372.625 


5-5226 


3.1244 


30.6 


96-I33 


735-42 


936.36 


28652.616 


5.5317 


3.1278 


30.7 


96.447 


740.23 


942.49 


28934.443 


5.5407 


3-1312 


30.8 


96.761 


745.06 


948.64 


29218. 112 


5.5497 


3.1346 


30.9 


97-075 


749.91 


954.81 


29503.629 


5.5587 


3.1380 


31.0 


97-3S9 


754-77 


961.00 


29791.000 


5.5678 


3.1414 


3ii 


97.704 


759-65 


967.21 


30080.231 


5.5767 


3.1448 


31-2 


9S.018 


764.54 


973-44 


30371.328 


5-5857 


3.1481 


31-3 


98.332 


769.45 


979.69 


30664 . 297 


5.5946 


3-1515 


31-4 


98 . 646 


774-37 


985.96 


30959.144 


5-6035 


3-1548 


31-5 


98 . 960 


779-31 


992.25 


31255.875 


5.6124 


3-1582 


31.6 


99.274 


784.27 


998.56 


31554.496 


5.6213 


3-1615 


3i-7 


99.588 


789.24 


1004.89 


31855-013 


5 • 6302 


3.1648 


31.8 


99.903 


794-23 


1011.24 


32157.432 


5-6391 


3.1681 


31-9 


100.22 


799.23 


1017.61 


32461.759 


5 . 6480 


3-1715 


32.0 


100.53 


804.25 


1024.00 


32768.000 


5-6569 


3-1748 


32.1 


100.85 


809.28 


1030.41 


33076.161 


5.6656 


3.1781 


32.2 


101.16 


814-33 


1036.84 


33386.248 


5.6745 


3-1814 


32.3 


101.47 


819.40 


1043.29 


33698.267 


5.6S33 


3-1847 


32.4 


101.79 


824.48 


1049.76 


34012.224 


5.6921 


3.1880 


32.5 


102.10 


829.58 


1056.25 


34328.125 


5 • 7008 


3.19*3 


32.6 


102.42 


834.69 


1062.76 


34645.976 


5 • 7096 


3.1945 


32.7 


102.73 


839.82 


1069.29 


34965.783 


5.7183 


3.I978 


32.8 


103 . 04 


844-96 


1075.84 


35287.552 


5.7271 


3.2010 


32.9 


103.36 


850.12 


1082.41 


35611.289 


5.7358 


3.2043 


33-0 


103.67 


855.30 


1089.00 


35937.000 


5-7446 


3-2075 


33-i 


103.99 


860.49 


1095.61 


36264.691 


5-7532 


3.2108 


33-2 


104.30 


865.70 


1102.24 


36594.368 


5-7619 


3.2140 


33-3 


104.62 


870.92 


1108.89 


36926.037 


5.7706 


3.2172 


33-4 


104.93 


876.16 


1115-56 


37259.704 


5.7792 


3 . 2204 


33-5 


105.24 


881.41 


1122.25 


37595-375 


5.7879 


3-2237 


33-6 


105.56 


8S6.68 


1128.96 


37933.056 


5-7965 


3.2269 


33-7 


105.87 


891.97 


1135.69 


38272.753 


5.8051 


3.2301 


33-8 


106. 19 


897.27 


1142.44 


38614.472 


5-8137 


3-2332 


33-9 


106.50 


902.59 


1149.21 


38958.219 


5.8223 


3-2364 


34-0 


106.81 


907.92 


1156.00 


39304 . 000 


5.8310 


3.2396 


34-i 


107.13 


913.27 


1162.81 


39651.821 


5.8395 


3-2428 


34-2 


107.44 


918.63 


1169.64 


40001 .688 


5.8480 


3.2460 


34-3 


107.76 


924.01 


1176.49 


40353.607 


5.8566 


3.2491 


34-4 


10S.07 


929.41 


1183.36 


40707.584 


5-8651 


3.2522 



HANDY TABLES, 

Con st ants — Contin ued. 



n 


wr 


« a - 
4 


n> 


n % 


V„ 


3 


34-5 


108.38 


934.82 


II9O.25 


4IO63.625 


5.873o 


3.2554 


34-6 


108.70 


940.25 


II97.16 


41421.736 


5.8821 


3.2586 


34-7 


IOg.OI 


945.69 


I204.O9 


41781.923 


5 . 8906 


3.2617 


34-8 


109.33 


951.15 


I2II.04 


42144.I92 


5.8991 


3 • 2648 


34-9 


IO9.64 


956.62 


I2I8.0I 


42508.549 


5.9076 


3.2679 


35 .o 


IO9.96 


962. 11 


I225.0O 


42875.OOO 


5.9161 


3-2710 


35-i 


IIO.27 


967.62 


I232.0I 


43243.551 


5.9245 


3.2742 


35-2 


IIO.58 


973.14 


I239-04 


43614.208 


5.9329 


3-2773 


35-3 


HO.90 


978.68 


I246.O9 


43986.977 


5.9413 


3.2804 


35-4 


III. 21 


984-23 


I253.16 


44361.864 


5 • 9497 


3-2835 


35-5 


in. 53 


989.80 


1260.25 


44738.875 


5.9581 


3.2866 


35-6 


1 1 1. 84 


995-38 


1267.36 


45118.016 


5.9665 


3.2897 


35-7 


112. 15 


1000.98 


1274.49 


45499.293 


5-9749 


3.2927 


35-8 


112.47 


1006 . 60 


1281.64 


45S82.712 


5-9833 


3-2958 


35-9 


, 112.78 


1012.23 


I288.8I 


46268.279 


5.9916 


3.2989 


36.0 


113. 10 


1017.88 


I296.OO 


46656.000 


6 . 0000 


3-3019 


36.1 


113.41 


1023.54 


1303.2I 


47045.881 


6.0083 


3-3050 


36.2 


113.73 


1029.22 


I3IO.44 


47437-928 


6.0166 


3.3080 


36.3 


114.04 


1034.91 


I3I7-69 


47832.147 


6.0249 


3-3HI 


36.4 


114.35 


1040.62 


I324.96 


48228.544 


6.0332 


3.3I4I 


39-5 


114.67 


1046.35 


1332.25 


48627.125 


6.0415 


3.3I7I 


36.6 


114.98 


1052.09 


I339-56 


49027.896 


6.0497 


3.3202 


36 7 


115.30 


1057.84 


I346.89 


49430.863 


6.0580 


3-3232 


36.8 


115. 61 


1063.62 


1354.24 


49836.032 


6.0663 


3.3262 


36.9 


115.92 


1069.41 


I361.61 


50243.409 


6.0745 


3-3292 


37-o 


116.24 


1075.21 


I369.OO 


- 50653.000 


6.0827 


3-3322 


37-i 


116.55 


10S1 .03 


I376.4I 


51064. 811 


6.0909 


3-3352 


37-2 


116.87 


1086.87 


1383.84 


51478.848 


6.0991 


3-3382 


37-3 


ri7.i8 


1092.72 


I39I.29 


51895. 117 


6.1073 


3-3412 


37-4 


117.50 


1098.58 


1398.76 


52313.624 


6.1155 


3-3442 


37.5 


117. 81 


1104.47 


I406.25 


52734-375 


6.1237 


3-3472 


37-6 


118. 12 


1110.36 


I413.76 


53I57-376 


6.1318 


3-3501 


37-7 


118.44 


1116.28 


I421.29 


53582.633 


6.1400 


3-3531 


37-8 


118.75 


1122.21 


I428.84 


54010.152 


6.1481 


3.3561 


37-9 


119.07 


1128.15 


I436.4I 


54439-939 


6.1563 


3-3590 


38.0 


119-38 


II34-H 


1444 . OO 


54872.000 


6.1644 


3.3620 


38.1 


119.69 


1140.09 


I45I-6I 


55306.341 


6.1725 


3-3649 


38.2 


120.01 


1146.08 


I459.24 


55742.968 


6.1806 


3-3679 


38.3 


120.32 


1152.09 


I466.89 


56181.887 


6.1887 


3.3708 


38.4 


120.64 


1158. 12 


1474.56 


56623.104 


6.1967 


3-3737 


38.5 


120.95 


1164.16 


I482.25 


57066.625 


6 . 2048 


3.3767 


38.6 


121.27 


1170.21 


I489.96 


57512.456 


6.2129 


3-3796 


3S.7 


121.58 


1176.28 


I497.69 


57960.603 


6.2209 


3-3825 



HANDY TABLES. 

Constants — Continued. 



13 



n 


ttIT 


4 


n i 


n* 


T n 


hi 


38.8 


121.89 


1182.37 


1505.44 


58411.072 


6.2289 


3.3854 


38.9 


122.21 


1188.47 


1513-21 


58863.869 


6.2370 


3-3883 


39 -o 


122.52 


1194.59 


1521.00 


59319.000 


6.245O 


3-3912 


39- x 


122.84 


1200.72 


1528.81 


59776.471 


6.253O 


3-3941 


39- 2 


123.15 


1206. S7 


1536.64 


60236.288 


6.2610 


3-3970 


39-3 


123.46 


1213.04 


1544-49 


60698.457 


6.2689 


3-3999 


39-4 


I23.78 


1219.22 


1552.36 


61162.984 


6.2769 


3.4028 


39-5 


I24.O9 


1225.42 


1560.25 


61629.875 


6.2849 


3.4056 


39.6 


I24.4I 


1231.63 


1568.16 


62099.136 


6.2928 


3.4085 


39-7 


124.72 


1237.86 


1576.09 


62570.773 


6 . 3008 


3-4II4 


39-8 


I25.O4 


1244.10 


1584.04 


63044.792 


6.3087 


3.4142 


39-9 


125.35 


1250.36 


1592.01 


63521.199 


6.3166 


3.417I 


40.0 


125.66 


1256.64 


1600.00 


64000 . 000 


6.3245 


3.4200 


40.1 


I25.98 


1262.93 


1608.01 


64481.201 


6.3325 


3.4228 


40.2 


I26.29 


1269.23 


1616.04 


64964 . 808 


6.3404 


3-4256 


40.3 


I26.6I 


1275.56 


1624.09 


65450.827 


6.3482 


3-4285 


40.4 


126-92 


1281.90 


1632.16 


65939.264 


6.3561 


3-4313 


40.5 


127.23 


1288.25 


1640.25 


66430.125 


6.3639 


3.4341 


40.6 


127.55 


1294.62 


1648.36 


66923.416 


6.3718 


3-4370 


40.7 


127.86 


1301.00 


1656.49 


67419.143 


6.3796 


3-4398 


40.8 


I28.I8 


1307.41 


1664 . 64 


67911.312 


6.3875 


3.4426 


40.9 


I28.49 


1313.82 


1672.81 


68417.929 


6-3953 


3-4454 


41.0 


I28.8I 


1320.25 


1681.00 


68921.000 


6.4031 


3.4482 


41. 1 


129.12 


1326.70 


1689.21 


69426.531 


6.4109 


3-45IO 


41.2 


I29.43 


I333-I7 


1697.44 


69934.528 


6.4187 


3.4538 


41-3 


129-75 


1339-65 


1705-69 


70444.997 


6.4265 


3.4566 


41.4 


130.06 


1346.14 


1713.96 


70957.944 


6.4343 


3-4594 


4i -5 


130.38 


1352.65 


1722.25 


71473.375 


6.4421 


3-4622 


41.6 


130.69 


1359-iS 


1730.56 


71991.296 


6.4498 


3.4650 


4i-7 


131.00 


1365.72 


1738.89 


725II.7I3 


6-4575 


3.4677 


41.8 


131-32 


1372.28 


1747.24 


73034.632 


6.4653 


3.4705 


41.9 


131-63 


1378.85 


I755.6I 


73560.059 


6.4730 


3-4733 


42.0 


131.95 


1385.44 


1764.00 


74088.000 


6.4807 


3.476o 


42.1 


132.26 


1392.05 


1772.41 


74618.461 


6.4884 


3.4788 


42.2 


132.58 


1398.67 


1780.84 


75151-448 


6.4961 


3-4815 


42.3 


132.89 


1405.31 


1789.29 


75686.967 


6.5038 


3.4843 


42.4 


133.20 


1411.96 


1797.76 


76225.024 


6.5115 


3.4870 


42.5 


133 -52 


1418.63 


1806.25 


76765.625 


6.5192 


3.4898 


42.6 


133.83 


1425.31 


1814.76 


77308.776 


6.5268 


3.4925 


42.7 


134.15 


1432.01 


1823.29 


77854.483 


6-5345 


3.4952 


42.8 


134.46 


1438.72 


1831.84 


78402.752 


6.5422 


3.4Q80 


42.9 


134-77 


1445.45 


1840.41 


78953. 5«9 


6.5498 


3-5007 



H 



HANDY TABLES. 

Constants — Continued. 



n 


nit 


**- 

4 


«« 


«3 


Vn 


3 


43-0 


I35-09 


1452.20 


1849.00 


79507.000 


6.5574 


3.5034 


43-i 


I35-40 


1458.96 


1857-61 


80062.99I 


6.5651 


3-5061 


43- 2 


135.72 


1465.74 


1866.24 


8062I.568 


6.5727 


3.5088 


43-3 


136.03 


1472.54 


1874.89 


8ll82.737 


6.5803 


3-5II5 


43-4 


136.35 


1479-34 


1883.56 


81746.504 


6.5879 


3.5I42 


43-5 


136.66 


1486.17 


1892.25 


82312.875 


6-5954 


3.5169 


43-6 


136.97 


I493-OI 


1900.96 


8288I.856 


6.6030 


3-5196 


43-7 


137.29 


1499.87 


1909.69 


83453.453 


6.6ic6 


3.5223 


43-8 


137.60 


1506.74 


1918.44 


84027.672 


6.6182 


3.5250 ; 


43-9 


137.92 


l^lM 


1927.21 


84604.5I9 


6.6257 


3-5277 


44.0 


138.23 


1520.53 


1936.00 


85184.OOO 


6.6333 


3.5303 


44.1 


138.54 


1527.45 


1944.81 


85766.121 


6.6408 


3-5330 


44.2 


138.86 


1534-39 


.1953.64 


8635O.888 


6.6483 


3-5357 


44-3 


139-17 


I54I-34 


1962.49 


86938.307 


6.6558 


3.5384 


44.4 


139-49 


1548.30 


1971.36 


87528.384 


6.6633 


3-54*0 


44-5 


139.80 


1555.28 


1980.25 


88I2I.I25 


6 . 6708 


3-5437 


44.6 


I40. 12 


1562.28 


1989.16 


88716.536 


6.6783 


3-5463 


44-7 


I4O.43 


1569-30 


1998 . 09 


89314.623 


6.6858 


3-5490 


44.8 


I40.74 


1576.33 


2007 . 04 


89915.392 


6.6933 


3.5516 


44.9 


I4I.06 


1583.37 


2016.01 


90518.849 


6 . 7007 


3-5543 


45-o 


141.37 


1590.43 


2025.00 


91125.000 


6.7082 


3-.5569 


45-i 


141.69 


1597-51 


2034.01 


9 r 733-85i 


6.7156 


3-5595 


45-2 


I42.OO 


1604.60 


2043.04 


92345.408 


6.7231 


3-5621 


45-3 


I42.3I 


1611.71 


2052.09 


92959.677 


6.7305 


3-5648 


45-4 


I42.63 


1618.83 


2061.16 


93576.664 


6.7379 


3-5674 


45-5 


142.94 


1625.97 


2070.25 


94196.375 


6-7454 


3- 5700 


45-6 


I43.26 


1633.13 


2079.36 


94818.816 


6.7528 


3-5726 


45-7 


143-57 


1640.30 


2088 . 49 


95443-993 


6.7602 


3-5752 


45-8 


143-88 


1647.48 


2097 . 64 


96071.912 


6.7676 


3-5778 


45-9 


144.20 


1654.68 


2106.81 


96702.579 


6.7749 


3-5805 .: 


46.0 


144-51 


1661.90 


2116.00 


97336.ooo 


6.7823 


3-5830 


46.1 


144.83 


1669. 14 


2125.21 


97972.i8i 


6.7897 


3-5856 


46.2 


145.14 


1676.39 


2134.44 


98611.128 


6.7971 


3-5882 


46.3 


145.46 


1683.65 


2143.69 


99252.847 


6 . 8044 


3-59o8 


46.4 


145.77 


1690.93 


2152.96 


99897.344 


6.8117 


3-5934 


46.5 


146.08 


1698.23 


2162.25 


100544.625 


6.8191 


3.5960 


46.6 


146.40 


1705-54 


2171.56 


101194.696 


6.8264 


3-5986 


46.7 


146.71 


1712.87 


2180.89 


101847.563 


6.8337 


3.6011 


46.8 


147-03 


1720.21 


2190.24 


102503.232 


6.8410 


3.6037 


46.9 


147-34 


1727.57 


2199.61 


103 161. 709 


6 . 8484 


3.6063 


47.0 


M7.65 


1734-94 


2209.00 


103823.000 


6.8556 


3.6088 


47-1 


147-97 


1742.34 


2218.41 


104487. in 


6.8629 


3.6114 


47.2 \ 


148.28 


1749.74 ' 


2227.84 


105154.048 


6.8702 


36139 



HANDY TABLES. 
Constants — Continued. 



15 



n 


KIT 


4 


«» 


«s 


Vn 


h 


47-3 


I48.6O 


I757.I6 


2237.29 


IO5823.817 


6.8775 


3.6165 


47-4 


I48.9I 


1764.60 


2246.76 


IO6496.424 


6.8847 


36190 


47-5 


149.23 


1772.05 


2256.25 


IO717I.875 


6.8920 


3.6216 


47.6 


149-54 


1779.52 


2265.76 


IO785O.176 


6.8993 


3-6241 


47-7 


149.85 


1787.01 


2275.29 


IO853I.333 


6.9065 


3.6267 


47-8 


150.17 


1794- 51 


2284.84 


IO9215.352 


6.9137 


3.6292 


47-9 


150.48 


1802.03 


2294.41 


IO99O2.239 


6.9209 


3-6317 


4S.0 


150.80 


1809.56 


2304.00 


IIO592.OOO 


6.9282 


3.6342 


48.1 


151. 11 


1817.11 


23I3.6I 


III284.64I 


6.9354 


3.6368 


48.2 


I5I-42 


1824.67 


2323.24 


III980.168 


6.9426 


3-6393 


48.3 


151-74 


1832.25 


2332.89 


II2678.587 


6.9498 


3.6418 


48.4 


152.05 


1839.84 


2342.56 


II3379.904 


6.9570 


3-6443 


48.5 


152.37 


I847-45 


2352.25 


II4084.I25 


6 . 9642 


3.6468 


48.6 


152.68 


1855.08 


236I.96 


II479I.256 


6.9714 


3.6493 


48.7 


153.00 


1862.72 


2371.69 


II550I.303 


6.9785 


3-6518 


48.8 


153-31 


1870.38 


2381.44 


II6214.272 


6.9857 


3-6543 


48.9 


153-62 


1878.05 


2391.21 


I 1693O. 169 


6.9928 


3-6568 


49.0 


153-94 


1885.74 


2401.00 


II7649.OOO 


7.0000 


3-6593 


49.1 


154.25 


I893-45 


24I0.8I 


II8370.771 


7.0071 


3.6618 


49.2 


154.57 


1901.17 


2420.64 


II9095.488 


7.0143 


3.6643 


49-3 


154.88 


1908.90 


2430.49 


II9823.I57 


7.0214 


3.6668 


49.4 


155-19 


1916.65 


2440.36 


120553.784 


7.0285 


3.6692 


49-5 


155-51 


1924.42 


2450.25 


121287.375 


7.0356 


3.6717 


49.6 


155.82 


1932.21 


2460.I6 


122023.936 


70427 


3.6742 


49-7 


156.14 


1940.00 


2470.09 


122763.473 


7 . 0498 


3-6767 


49-8 


156.45 


1947.82 


248O.O4 


I23505.992 


7.0569 


3-6791 


49.9 


156.77 


1955-65 


2490.0I 


I2425I.499 


7 . 0640 


3.6816 


50.0 


157.08 


1963.50 


2500.00 


125000.000 


7.0711 


3.6840 


51.0 


160.22 


2042.82 


260I.OO 


I32651.OOO 


7.I4I4 


3.7084 


52.0 


163.36 


2123.72 


2704.00 


I40608.OOO 


7.2111 


3-7325 


53-0 


166.50 


2206.19 


28O9 . OO 


I48877.OOO 


7.2801 


3-7563 


54-0 


169.64 


2290.22 


29I6.OO 


I57464.OOO 


7.3485 


3-7798 


55-0 


172.78 


2375-83 


3025.00 


166375.OOO 


7.4162 


3.8030 


56.0 


175 93 


2463.01 


3I36.00 


I75616.OOO 


7.4833 


3.8259 


57-o 


179-07 


255I-76 


3249.00 


185193.OOO 


7.5498 


3.8485 


58.0 


182.21 


2642.08 


3364.OO 


I95II2.0CO 


7.6158 


3.8709 


59-o 


185-35 


2733- ~7 


348I.OO 


205379.OOO 


7.6811 


3.8930 


60.0 


188.49 


2827.44 


36OO . OO 


2I6000.000 


7.7460 


3-9149 


61 .0 


191.63 


2922.47 


372I.OO 


226981.OOO 


7.8102 


3-9365 


62.0 


194-77 


3019-07 


3844.00 


23S328.OOO 


7.8740 


3.9579 


63.0 


197.92 


3117-25 


3969.OO 


250047.OOO 


7-9373 


3-979 1 


64.0 


201 . 06 


3216.99 


4096 . 00 


262144.OOO 


8 . 0000 


4 . 0000 


65.0 


204 . 20 


3318.31 


4225.00 


274625.OOO 


8.0623 


4.0207 


66.0 


207.34 


3421 .20 


4356.00 


287496.OOO 


8.1240 


4.0412 



i6 



HANDY TABLES. 

Constants — Continued. 



n 


nir 


4 


» a 


« 9 


Vn 


3 


67.0 


210.48 


3525.66 


4489 . 00 


300763 . 000 


8.1854 


4-0615 


68.O 


213.63 


363I.69 


4624 . 00 


314432.000 


8 


2462 


4.0817 


69.0 


216.77 


3739-29 


4761 .00 


328509.000 


8 


3066 


4.IO16 


70.0 


219.9I 


3848.46 


4900 . 00 


343000 . 000 


8 


3666 


4.1213 


71.0 


223.05 


3959- 20 


5041.00 


357911.000 


8 


4261 


4.1408 


72.0 


226.19 


4071.51 


5184.00 


373248.000 


8 


4853 


4.1602 


73-o 


229.33 


4185.39 


5329.00 


389017.000 


8 


5440 


4-1793 


74.0 


232.47 


4300.85 


5476.00 


405224.000 


8 


6023 


4.1983 


75-o 


235.62 


4417.87 


5625.00 


421875.000 


8 


6603 


4.2172 


76.0 


238.76 


4536.47 


5776.oo 


438976.000 


8 


7178 


4.2358 


77.0 


24I.9O 


4656.63 


5929.00 


456533-ooo 


8 


7750 


4-2543 


78.0 


245-04 


4778.37 


6084 . 00 


474552.000 


8 


8318 


4.2727 


79.0 


248.18 


4901.68 


6241.00 


493039.000 


8 


8882 


4.2908 


80.0 


251.32 


5026.56 


6400 . 00 


512000.000 


8 


9443 


4-3089 


81.0 


254.47 


5I53-OI 


6561.00 


531441.000 


9 


0000 


4.3267 


82.0 


257.61 


5281.03 


6724.00 


551368.000 


9 


0554 


4-3445 


83.0 


260.75 


5410.62 


6889.00 


571787.000 


9 


1 104 


4.3621 


84.0 


263.89 


554I-78 


7056.00 


592704.000 


9 


1652 


4-3795 


85-0 


267.O3 


5674.50 


7225.00 


614125.000 


9 


2195 


4-3968 


86.0 


270.17 


5808.81 


7396.00 


636056.000 


9 


2736 


4.4140 


87.0 


273.32 


5944.69 


7569.00 


658503.000 


9 


3274 


4.4310 


88.0 


276.46 


6082.13 


7744.00 


681472.000 


9 


3808 


4.4480 


89.0 


279.60 


6221.13 


7921.00 


704969.000 


9 


4340 


4.4647 


90.0 


282.74 


6361.74 


8100.00 


729000.000 


9 


4868 


4.4814 


91.0 


285.88 


6503.89 


8281.00 


753571.000 


9 


5394 


4-4979 


92.0 


289.02 


6647.62 


8464 . 00 


778688.000 


9 


5917 


4.5144 


93-0 


292.17 


6792.92 


8649 . 00 


804357.000 


9 


6437 


4.5307 


94.0 


295-31 


6939.78 


8836.00 


830584.000 


9 


6954 


4.5468 


95-0 


298.45 


7088.23 


9025.00 


857375.ooo 


9 


7468 


4.5629 


96.0 


301.59 


7238.24 


9216.00 


884736.000 


9 


7980 


4.5789 


97.0 


304-73 


7389.83 


9409 . 00 


912673.000 


9 


8489 


4-5947 


98. 


307-87 


7542.98 


9604 . 00 


941192.000 


9 


8995 


4.6104 


99.0 


311.02 


7697.68 


9801.00 


970299.000 


9 


9499 


4.6261 


100. 


3I4.I6 


7854.00 


10000.00 


1000000.000 


10.0000 


4.6416 



HANDY TABLES. 



*7 



II. 

LOGARITHMS. 

Hyperbolic Logarithms. 



N. 


Log. 


N. 


Log. 


N. I 


'Og. 


N. I 


.Og. 


N. 


Log. 


I.OO 


0.0000 


2.30 


0.8329 


3.60 1 


2809 


4.90 1 


5892 


6.40 


1.8563 


1.05 





O488 


2-35 


0.8544 


3-65 


2947 


4-95 1 


5994 


6 


50 


1 


8718 


1. 10 





O953 


2.40 


0.8755 


3-7° J 


3083 


5.00 1 


6094 





60 


1 


8871 


115 





1398 


2-45 


0.8961 


3-75 1 


3218 


5-o5 1 


6194 


6 


70 


1 


9021 


1.20 





1823 


2.50 


0.9163 


3.80 1 


3350 


5.10 1 


6292 


6 


80 


1 


9169 


1.25 





223I 


2-55 


0.9361 


3-85 1 


348l 


5-i5 * 


6390 


6 


90 


1 


93i5 


1.30 





2624 


2.60 


0.9555 


3.90 1 


3610 


5.20 1 


6487 


7 


00 


1 


9459 


1-35 





300I 


2.65 


0.9746 


3-95 1 


3737 


5-25 1 


6582 


7 


20 


1 


974i 


1 40 





3365 


2.70 


o-9933 


4.00 1 


3863 


5-3o 1 


6677 


7 


40 


2 


0015 


1-45 





37l6 


2-75 


1.0116 


4.05 1 


3987 


5-35 1 


6771 


7 


60 


2 


0281 


1.50 





4055 


2.80 


1.0296 


4.10 1 


4110 


5.40 1 


6864 


7 


80 


2 


0541 


1-55 





4383 


2.85 


I-0473 


4-15 1 


4231 


5-45 1 


6956 


8 


00 


2 


0794 


1.60 





47OO 


2.90 


1.0647 


4.20 1 


435 x 


5-50 1 


7047 


8 


25 


2 


1 102 


1.65 


c 


5008 


2-95 


1. 0818 


425 1 


4469 


5-55 1 


7138 


8 


50 


2 


1 401 


1.70 





53 06 


3.00 


1.0986 


4.30 1 


4586 


5.60 1 


7228 


S 


75 


2 


1691 


1-75 


c 


5596 


3-°5 


1.1154 


4-35 1 


4701 


5- 6 5 1 


73 J 7 


9 


00 


2 


1972 


1.80 





5878 


3.10 


1.1314 


4.40 1 


4816 


5-70 1 


7405 


9 


25 


2 


2246 


1.85 


c 


6152 


3-15 


1. 1474 


4-45 1 


4929 


5-75 1 


7492 


9 


50 


2 


25*3 


1.90 





6419 


3.20 


1-1632 


4.50 1 


5041 


5.80 1 


7579 


9 


75 


2 


2773 


i-95 





6678 


3-25 


1. 1787 


4-55 1 


5151 


5-85 I 


7664 


10 


00 


2 


3026 


2.00 





6931 


3-3° 


!-i939 


4.60 1 


5261 


5-9° I 


775o 


11 


00 


2 


3979 


2.05 





7I78 


3-35 


1 . 2090 


4.65 1 


5309 


5-95 1 


7834 


12 


00 


2 


4849 


2.10 





74T9 


3 40 


1.2238 


4.70 1 


5476 


6.00 1 


7918 


13 


00 


2 


5649 


215 


G 


7655 


3-45 


1.2384 


4-75 1 


558i 


6.10 1 


8083 


14 


00 


2 


6391 




O 


7885 


3-5o 


1.2528 


4.80 1 


5686 


6.20 1 


8245 


15 


00 


2 


7081 


2.25 


O.81O9 


3-55 


1.2669 


4.85 1 


579° 


6.30 1 


8405 


16.00 


2.7726 



Common Logarithms: 10-1200. 



N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Diff. 


10 


00000 


00432 


00860 


01284 


01703 


02119 


02531 


02938 


03342 


03743 


396 


11 


04139 


04532 


04922 


05308 


05690 


06070 


06446 


06819 


07188 


07555 


363 


12 


07918 


08279 


08636 


08991 


09342 


09691 


10037 


10380 


1072 1 


1 1059 


335 


13 


"394 


11727 


12057 


12385 


12710 


13033 


13354 


13672 


13988 


14301 


312 


14 


14613 


14922 


15229 


15534 


15836 


16137 


^435 


16732 


17026 


I 73 I 9 


290 


15 


17609 


17898 


18184 


18469 


18752 


19033 


19312 


19590 


19866 


20140 


272 


10 


20412 


20683 


20952 


21219 


21484 


21748 


22011 


22272 


22531 


22789 


256 


17 


23045 


23300 


23553 


23805 


24055 


24304 


2455 1 


24797 


25042 


25285 


242 


18 


25527 


25768 


26007 


26245 


26482 


26717 


26951 


27184 


27416 


27646 


229 


19 


27875 


28103 


28330 


28556 


28780 


29003 


29226 


29447 


29667 


29885 


218 


20 


30103 


30320 


30535 


30750 


30963 


3"75 


31387 


31597 


31806 


32015 


407 


21 


32222 


32428 


32634 


32838 


33041 


33244 


33445 


33646 


33846 


34044 


198 


22 


34242 


34439 


34635 


34830 


35025 


352i8 


354" 


35603 


35793 


35984 


189 


23 


36173 


36361 


36549 


36736 


36922 


37107 


37291 


37475 


37658 


37840 


181 


24 


38021 


3S202 


38382 


38561 


38739 


38917 


39094 


39270 


39445 


39620 


174 


25 


39794 


39967 


40140 


40312 


40483 


40654 


40824 


40993 


41162 


41330 


167 


2b 


4H97 


41664 


41830 


41996 


42160 


42325 


42488 


42651 


42813 


42975 


161 


27 


43136 


43 2 97 


43457 


43616 


43775 


43933 


44091 


44248 


44404 


44560 


156; 


28 


447i6 


44871 


45025 


45179 


4^332 


45484 


45637 


45788 


45939 


46090 


150. 


29 


46240 


46389 


46538 


46687 


46835 


46982 


47129 


47276 


47422 


47567 


145. 



i8 



HANDY TABLES. 

Common Logarithms — Continued. 



N. 





1 


2 


• 


4 


5 


6 


7 


8 


9 


Diff. 


3° 


47712 


47857 


48001 


48144 


48287 


48430 


48572 


48714 


48855 


48996 


140 


31 


49136 


49276 


49415 


49554 


49693 


49831 


49969 


50106 


50243 


50379 


136 


32 


50515 


50651 


50786 


50920 


51055 


51188 


51322 


5M55 


51587 


51720 


132 


33 


51851 


51983 


52114 


52244 


52375 


52504 


52634 


52763 


52892 


53020 


128 


34 


53M8 


53275 


53403 


53529 


53656 


53782 


539o8 


54033 


54158 


54283 


124 


35 


54407 


54531 


54654 


54777 


549oo 


55023 


55*45 


55267 


55388 


55509 


121 


36 


55630 


55751 


55871 


55991 


56110 


56229 


56348 


56467 


56585 


56703 


117 


37 


56820 


56937 


57054 


57i7i 


57287 


57403 


57519 


57634 


57749 


57864 


"4 


38 


57978 


58092 


58206 


58320 


58433 


58546 


58659 


58771 


58883 


5S995 


in 


39 


59106 


59218 


59329 


59439 


5955o 


59660 


5977o 


59879 


59988 


60097 


109 


40 


60206 


60314 


60423 


60531 


60638 


60746 


60853 


60959 


61066 


61172 


106 


4i 


61278 


61384 


61490 


6i595 


61700 


61805 


61909 


62014 


62118 


62221 


104 


42 


62325 


62428 


62531 


62634 


62737 


62839 


62941 


63043 


63144 


63246 


IOI 


43 


63347 


63448 


63548 


63649 


63749 


63849 


63949 


64048 


64147 


64246 


99 


44 


64345 


64444 


64542 


64640 


64738 


64836 


64933 


65031 


65128 


65225 


97 


45 


65321 


65418 


65514 


65610 


65706 


65801 


65896 


65992 


66087 


66181 


95 


46 


66276 


66370 


66464 


66558 


66652 


66745 


66839 


66932 


67025 


67117 


93 


47 


67210 


67302 


67394 


67486 


67578 


67669 


67761 


67852 


67943 


68034 


90 


48 


68124 


68215 


68305 


68395 


68485 


68574 


68664 


68753 


68842 


68931 


89 


49 


69020 


69108 


69197 


69285 


69373 


69461 


69548 


69636 


69723 


69810 


87 


5° 


69897 


69984 


70070 


70157 


70243 


70329 


70415 


70501 


70586 


70672 


86 


5i 


70757 


70842 


70927 


71012 


71096 


71181 


71265 


71349 


7M33 


71517 


84 


52 


71600 


71684 


71767 


71850 


71933 


72016 


72099 


72181 


72263 


72346 


83 


53 


72428 


72509 


72591 


72673 


72754 


72835 


72916 


72997 


73078 


73159 


81 


54 


73239 


73320 


73400 


7348o 


73560 


73640 


73719 


73799 


73878 


73957 


80 


55 


74036 


74" 5 


74194 


74273 


7435^ 


74429 


74507 


74586 


74663 


74741 


78 


56 


74819 


74896 


74974 


75051 


75128 


75205 


75282 


75358 


75435 


755II 


77 


57 


75587 


75664 


75740 


758i5 


75891 


75967 


76042 


76118 


76i93 


76268 


76 


58 


76343 


76418 


76492 


76567 


7 66 4 t 


76716 


76790 


76864 


76938 


77012 


74 


59 


77085 


77159 


77232 


77305 


77379 


77452 


77525 


77597 


77670 


77743 


73 


60 


77815 


77887 


77960 


78032 


78104 


78176 


78247 


78319 


78390 


78462 


72 


.61 


78533 


78604 


78675 


78746 


78817 


78888 


78958 


79029 


79099 


79169 


7i 


.62 


79239 


79309 


79379 


79449 


795i8 


79588 


79657 


79727 


79796 


79865 


69 


63 


79934 


80003 


80072 


80140 


80209 


80277 


80346 


80414 


80482 


80550 


68 


<6 4 


80618 


80686 


80754 


80821 


80889 


80956 


81023 


81090 


81158 


81224 


67 


65 


81291 


81358 


81425 


81491 


81558 


81624 


81690 


8i757 


81823 


81889 


66 


66 


8i954 


82020 


82086 


82151 


82217 


82282 


82347 


82413 


82478 


82543 


65 


67 


82607 


82672 


82737 


82802 


82866 


82930 


82995 


83059 


83123 


83187 


64 


68 


83251 


83315 


83378 


83442 


83506 


83569 


83632 


83696 


83759 


83822 


63 


69 


83885 


83948 


8401 1 


84073 


84136 


84198 


84261 


84323 


84386 


84448 


63 


70 


845^0 


84572 


84634 


84696 


84757 


84819 


84880 


84942 


85003 


85065 


61 


7 1 


85126 


85187 


85248 


85309 


85370 


85431 


8549i 


85552 


85612 


85673 


61 


72 


85733 


85794 


85854 


85914 


85974 


86034 


86094 


86153 


86213 


86273 


60 


73 


86332 


86392 


86451 


86510 


86570 


86629 


86688 


86747 


86806 


86864 


59 


74 


86923 


86982 


87040 


87099 


87157 


87216 


87274 


87332 


87390 


87448 


58 


75 


87506 


87=564 


87622 


87679 


87737 


87795 


87852 


87910 


87967 


88024 


58 


76 


88081 


88138 


88195 


88252 


88309 


88366 


88423 


88480 


88536 


88593 


57 


77 


88649 


88705 


88762 


88818 


88874 


88930 


88986 


89042 


89098 


89154 


56 


78 


89209 


89265 


89321 


89376 


89432 


89487 


89542 


89597 


89653 


89708 


55 


79 


89763 


89818 


89873 


89927 


89982 


90037 


90091 


90146 


90200 


90255 


55 


80 


90309 


90363 


90417 


90472 


90526 


90580 


90634 


90687 


90741 


90795 


54 


81 


90849 


90902 


90956 


91009 


91062 


91116 


91169 


91222 


91275 


91328 


53 


82 


91381 


9*434 


91487 


91540 


91593 


91645 


91698 


91751 


91803 


9i855 


52 


83 


91908 


91960 


92012 


92065 


92117 


92169 


92221 


92273 


92324 


92376 


52 


84 


92428 


92480 


92531 


92583 


92634 


92686 


92737 


92788 


92840 


92891 


51 


85 


92942 


92993 


93044 


93095 


93H6 


93197 


93247 


93298 


93349 


93399 


5» 


86 


9345o 


935oo 


93551 


93601 


93651 


93702 


93752 


93802 


93852 


93902 


50 


87 


93952 


94002 


94052 


94101 


94151 


94201 


94250 


94300 


94349 


94399 


50 



HANDY TABLES. 



19 



Common Logarithms— Continued. 



N. 





1 




3 


4 


5 


6 


7 


8 


9 


Diff. 


88 


94448 


94498 


94547 


94596 


94645 


94694 


94743 


94792 


94841 


94890 


49 


89 


94939 


949SS 


9503° 


95085 


95134 


95182 


95231 


95279 


95328 


95376 


49 


90 


95424 


95472 


9552i 


95569 


95617 


95665 


95713 


95761 


95809 


95856 


48 


9 1 


95904 


95952 


95999 


96047 


96095 


96142 


96190 


96237 


96284 


96332 


47 


92 


9 6 379 


96426 


96473 


96520 


96567 


96614 


96661 


96708 


96755 


96802 


47 


93 


96S48 


96895 


96942 


96988 


97035 


97081 


97128 


97174 


97220 


97267 


46 


94 


97313 


97359 


97405 


9745i 


97497 


97543 


97589 


97635 


97681 


97727 


46 


95 


97772 


97818 


97864 


97909 


97955 


98000 


98046 


98091 


98137 


98182 


45 


96 


98227 


98272 


98318 


98363 


98408 


98453 


98498 


. 98543 


98588 


98632 


45 


97 


98677 


98722 


98767 


988 1 1 


98856 


98900 


98945 


98989 


99034 


99078 


45 


98 


99123 


99167 


99211 


99255 


99300 


99344 


99388 


99432 


99476 


99520 


44 


99 


99564 


99607 


99651 


99695 


99739 


99782 


99826 


99870 


99913 


99957 


44 


100 


00000 


0004,3 


00087 


00130 


00173 


00217 


00260 


00303 


00346 


00389 


43 


101 


00432 


00475 


00518 


00561 


00604 




00689 


00732 


00775 


00817 


43 


102 


00860 


00903 


00945 


00988 


01030 


01072 


01115 


.01157 


01199 


01242 


42 


103 


01284 


01326 


01368 


01410 


01452 


01494 


01536 


01578 


01620 


01662 


42 


104 


01703 


oi745 


01787 


01828 


01870 


01912 


oi953 


01995 


02036 


02078 


42 


105 


02119 


02160 


02202 


02243 


02284 


02325 


02366 


02407 


02449 


02490 


4i 


106 


02531 


02572 


02612 


02653 


02694 


02735 


02776 


02816 


02857 


02898 


4i 


107 


02938 


02979 


03019 


03060 


03100 


03141 


03181 


03222 


03262 


03302 


4i 


108 


03342 


°33 8 3 


03423 


03463 


03503 


03543 


03583 


03623 


03663 


03703 


40 


109 


03743 


03782 


03822 


03862 


03902 


03941 


03981 


04021 


04060 


04100 


40 


no 


04139 


04179 


04218 


04258 


04297 


04336 


04376 


04415 


04454 


04493 


39 


III 


04532 


04571 


04610 


04650 


04689 


04727 


04766 


04805 


04844 


04883 


39 


112 


04922 


04961 


04909 


05038 


05077 


05115 


05154 


05192 


05231 


05269 


39 


"3 


05308 


05346 


05385 


05423 


05461 


05500 


05538 


05576 


95614 


05652 


38 


114 


05690 


05729 


05767 


05805 


05843 


05881 


05918 


05956 


05994 


06032 


38 


"5 


06070 


06108 


06145 


06183 


06221 


06258 


06296 


06333 


06371 


06408 


38 


116 


06446 


06483 


06521 


06558 


06595 


06633 


06670 


06707 


06744 


06781 


37 


117 


06819 


06856 


06893 


06930 


06967 


07004 


07041 


07078 


07115 


07151 


37 


118 


07188 


07225 


07262 


07298 


07335 


07372 


07408 


07445 


07482 


07518 


37 


119 


07555 


07591 


07628 


07664 


07700 


07773 


07773 


07809 


07846 


07882 


36 



Base of Naperian logarithms 

Log. e = Modulus of common logarithms, 



Log. 



6— 2.7I828I8 O.4342945 

M = 0.4342945 9.6377843 - 10. 



20 



HANDY TABLES. 



III. 

MEAN PRESSURES FOR VARIOUS METHODS OF EXPANSION. 



Values of — - „ Adiabatic Expansion of Steam. 



«w c 

o.2 


M 1 k 



3 
U 




Percentage of Steam 


and Value of n. 






.2 c 


100 
I-I35 1 


90 
125 


80 
1. 115 1 


76 

.III I 


70 
.105 1 


60 
.095 1 


50 
085 


1-333 


2 


i 


.829 


831 


.833 


834 


835 


836 


837 


.8lO 


ai 


1 


.785 


787 


.788 


789 


790 


791 


793 


•754 


si 


2 


•744 


746 


.747 


748 


749 


75o 


75i 


.714 


2f 


A 


.707 


708 


.710 


711 


712 


713 


.714 


•675 


3 


* 


•675 


676 


.677 


678 


679 


681 


683 


•039 


3* 


A 


.644 


645 


.647 


648 


649 


.650 


.652 


.606 


3i 


A 


.633 


635 


.636 


637 


639 


.641 


.643 


.600 


Si 


f 


.616 


618 


.619 


620 


.622 


.624 


.626 


.576 


3f 


A 


.591 


592 


.593 


594 


•595 


.596 


598 


•552 


4 


i 


.567 


568 


• 570 


572 


573 


574 


576 


•523 


4 


2 


•525 


527 


.528 


530 


53i 


533 


534 


.486 


5 


1 


.488 


491 


.493 


494 


496 


498 


500 


•447 


5i 


A 


.458 


460 


.462 


463 


465 


467 


470 


.417 


6 


* 


.432 


434 


.435 


437 


439 


441 


443 


•390 


6i 


A 


.409 


410 


.411 


413 


415 


417 


420 


.369 


7 


I 


.387 


39° 


.392 


394 


400 


403 


405 


•345 


8 


i 


•355 


356 


.357 


358 


360 


361 


363 


.312 


IO 


A 


.298 


300 


.302 


303 


304 


305 


308 


.263 


20 


A 


.T70 


173 


• 175 


177 


178 


180 


182 


.144 


50 


A 


.080 


082 


.083 


084 


084 


085 


086 


.063 


IOO 


TF<7 


.044 


045 


.045 


046 


046 


047 


048 


•034 



HANDY TABLES. 



21 



III . — ( Continued?) 
MEAN PRESSURES FOR VARIOUS METHODS OF EXPANSION. 

Values of ^— for Steam, Air, Gas, and Mixtures. 







3 
C 

'3 
Pm 


6 9 s 


3 d S 


team and Leak- .£ 
age, Actual En- 5 
gines. cc 


0' 


Gases. 


w o 
o 5; 


| Is 

O 


other- 
al, », 
1. 00. 






I 5 

I* n 


0.50. 


c 
rt 

«j0.75. C 


Adiabat- 
ic, n, 
1.41. 


2 


i 


.841 


825 


914 


.875 


783 


846 


.801 


2j 


1 


•793 


787 


888 


.844 


733 


804 




753 


2* 


8 


.760 


745 


866 


.80O 


683 


765 




707 


2| 


T 4 T 


•717 


700 


846 


.785 


638 


731 




668 


3 


£ 


.695 


665 


824 


•752 


598 


699 




638 


3i 


A 


.665 


635 


802 


.732 


578 


670 




596 


3* 


& 


.652 


625 


796 


.716 


568 


66l 




588 


3i 


f 


.632 


605 


782 


.704 


548 


642 




568 


3f 


■h 


.608 


580 


775 


.684 


515 


616 




538 


4 


i 


.587 


550 


750 


.664 


486 


566 




5i8 


4i 


2 

9 


.540 


5io 


720 


.624 


441 


555 




473 


5 


1 
Z 


.510 


482 


695 


.600 


406 


522 




428 


5* 


ft 


•47S 


455 


674 


.560 


37i 


492 




406 


6 


£ 


•454 


420 


650 


•530 


349 


465 




378 


6i 


ft 


■430 


390 


632 


.515 


326 


441 




358 


7 


1 

7 


.409 


375 


612 


.500 


303 


421 




337 


8 


i 


•372 


340 


697 


.468 


276 


385 




302 


IO 


ft 


.326 


284 


532 


.412 


225 


330 




253 


20 


A 


.192 


165 


39 6 


.272 


103 


200 




138 


50 


5V 


.091 


074 


245 


•193 


050 


098 




060 


TOO 


TiJir 


•053 


040 


180 


• 134 


025 


056 




032 



22 



HANDY TABLES. 



I II. — (Continued!) 
MEAN PRESSURE RATIOS. 



r 


^ 


B 


C 


r 


A 


B 


C 


r 


A 


B 


C 


' 


A 


B 


C 


I.O 


t . 000 1 


000 


t.000 


5-3 


478 


.503 


.488 


9 


6 .312 


.340 


•324 


T7.8 


.194 


.218 


.204 


i.i 


5.996 


996 


3.996 


5-4 


472 


• 497 


.482 


9 


7 -31° 


•338 


.322 


18 





.192 


.216 


.202 


1.2 


2.983 


983 


3.983 


5-5 


467 


• 492 


•477 


9 


8 .307 


•335 


• 3 X 9 


18 


2 


.190 


•215 


.20a 


i-3 


.966 


968 


.967 


5-6 


461 


.486 


• 471 


9 


9 -3°5 


•333 


• 3*7 


iS 


4 


.189 


.214 


.199 


1.4 


•947 


952 


•950 


5-7 


456 


.481 


.466 


10 


.303 


•330 


• 3M 


18 


6 


.187 


.212 


.197 


i-5 


.928 


934 


•931 


5-8 


45° 


•475 


.460 


10 


2 .299 


.325 


.310 


18 


8 


.185 


.210 


i95 


i.6 


.910 


919 


.914 


5-9 


445 


.470 


•455 


10 


4 -295 


.321 


.306 


19 





.183 


.208 


■ 193 


i-7 


.890 


900 


.895 


6.0 


440 


.465 


• 45° 


10 


6 .291 


•3!7 


.302 


19 


2 


.182 


.207 


.192 


i.8 


.870 


880 


.875 


6.1 


434 


.460 


•445 


10 


8 .287 


•3 J 3 


.298 


19 


4 


.180 


.205 


.190 


1.9 


.850 


862 


.856 


6.2 


429 


•455 


.440 


11 


.283 


•3°9 


•294 


19 


6 


.179 


.204 


.189 


2.0 


.833 


846 


.840 


6-3 


424 


.450 


•435 


11 


2 .279 


•305 


.290 


19 


8 


.178 


.202 


.187 


2.1 


.817 


830 


.824 


6.4 


419 


• 445 


•43° 


11 


4 -275 


.301 


.286 


20 





.177 


.200 


.186 


2.2 


.798 


812 


.805 


6-5 


414 


.441 


.426 


11 


6 .272 


.298 


• 283 


20 


2 


•175 


.198 


.184. 


2-3 


.780 


795 


•787 


6.6 


409 


•436 


.421 


11 


8 .268 


•294 


•279 


20 


4 


.174 


.196 


.183 


2.4 


•763 


780 


.771 


6.7 


405 


•432 


.417 


12 


.264 


.290 


•275 


20 


6 


•173 


.194 


.182 


2-5 


.748 


766 


• 756 


6.8 


401 


.428 


•4i3 


12 


2 .261 


.287 


.272 


20 


8 


.171 


.193 


.180 


2.6 


•732 


75° 


.740 


6.9 


396 


•424 


.408 


12 


4 -257 


.283 


.268 


21 





.169 


.192 


.178 


2.7 


.718 


736 


.726 


7.0 


393 


.421 


•405 


12 


6 .254 


.280 


.265 


21 


2 


.168 


.191 


.177 


2.8 


•7°5 


723 


•713 


7-i 


</'<: 


.417 


.401 


12 


8 .251 


.277 


.262 


21 


4 


.167 


.190 


.176 


2.9 


.692 


710 


.700 


7.2 


385 


•4*3 


•397 


J 3 


.248 


.274 


•259 


21 


6 


.165 


.188 


.174. 


3-° 


.680 


699 


.688 


7-3 


38l 


.410 


•393 


13 


2 .245 


.271 


.256 


21 


8 


.164 


.187 


•173 


3-i 


.668 ' 


687 


.676 


7-4 


377 


.406 


•39° 


13 


4 .242 


.268 


•253 


22 





.163 


.186 


.172 


3-2 


.656 ' 


675 


.664 


7-5 


373 


.402 


.386 


13 


6 .239 


• 265 


.250 


22 


2 


.162 


.185 


.171 


3-3 


•645 


664 


•653 


7.6 


37o 


•399 


•383 


13 


8 .236 


.262 


.247 


22 


4 


.161 


.i84 


.170 


3-4 


•634 


653 


.642 


7-7 


3 6 7 


•396 


.380 


14 


.234 


.260 


•245 


22 


6 


.160 


.183 


.169 


3-5 


.622 


642 


.631 


7-8 


3 6 3 


•39 2 


•376 


14 


2 .231 


•257 


.242 


22 


8 


• i59 


.182 


.16S- 


3.6 


.612 


632 


.621 


7-9 


V' c - 


•389 


•373 


14 


4 .228 


•254 


•239 


23 





.158 


.180 


.167 


3-7 


.602 


622 


.611 


8.0 


356 


.385 


•37o 


M 


6 .225 


•251 


.236 


23 


2 


.156 


.179 


.165 


3-8 


•593 


613 


.602 


8.1 


353 


• 382 


•367 


14 


8 .223 


•249 


•234 


23 


4 


• i55 


.178 


.164 


3-9 


.584 


604 


•593 


8.2 


35o 


•379 


•364 


*5 


.221 


•247 


.232 


23 


6 


•154 


.177 


.163 


4.0 


•572 


596 


.583 


8-3 


347 


.376 


.361 


15 


2 .219 


•245 


.230 


23 


8 


•i53 


.176 


.162 


41 


.565 


587 


•575 


8.4 


344 


•373 


•358 


IS 


4 .217 


.242 


.227 


24 





• 151 


.174 


.160 


4.2 


•556 


578 


.566 


8-5 


34 1 


•37i 


•355 


15 


6 .215 


.240 


.225 


24 


2 


.150 


• i73 


•i59. 


4-3 


.548 


57° 


.558 


8.6 


338 


.368 


•352 


!5 


8 .213 


.238 


.223 


24 


4 


.149 


.172 


.158 


4-4 


•540 


563 


•55o 


8.7 


335 


.364 


•349 


16 


.211 


.236 


.221 


=4 


6 


.148 


.171 


•i57 


4-5 


•532 


555 


•542 


8.8 


3J2 


.361 


•346 


16 


2 .209 


•234 


.219 


24 


3 


.147 


.170 


.156 


4.6 


.525 


548 


•535 


8.9 


33° 


•358 


•34 


16 


4 .207 


.232 


.217 


25 





.146 


.169 


•i55 


4-7 


.518 


542 


.528 


9.0 


327 


•355 


•34° 


16 


6 .20=; 


.230 


•215 










4.8 


•5" 


535 


.521 


9.1 


324 


•353 


•337 


16 


8 .203 


.228 


.213. 










4.9 


•504 


528 


•5M 


9.2 


322 


•35i 


• 335 


*7 


.201 


.226 


.211 










S-o 


.496 


522 


.506 


9-3 


320 


•348 


•332 


17 


2 .199 


.224 


.209 










5-i 


.490 


515 


.500 


9.4 


317 


•345 


•329 


17 


4 -197 


.222 


.207 










5-2 


.484 


5°9 


•494 


9-5 


3i5 


•343 


•327 


'7 


6 .195 


.220 


.205 













Column r, the ratio of expansion = -± 



A y ratio of mean to initial pressure, — = - 



B, 



An 
Pi 



Pi ' 



1 -f hyp, log. 



For dry steam, expand- 
ed without gain or loss 
of heat, in a non-con- 
ducting cylinder. 
r I For damp steam, 
- < expanded receiv- 
( ing heat. 

For dry steam, ex- 
panded receiving 
heat sufficient to pre- 
vent liquefaction. 



Rule.— To find the mean pressure exerted throughout the stroke, multiply the initial pres- 
sure by the number opposite the ratio of expansion, in the column corresponding with the 
conditions of expansion. (From Northcott.) 



HANDY TABLES. 



23 



IV. 

TERMINAL PRESSURE RATIOS & 



r 


^4 


B 

0.0 


C 


4-7 


A 


B 
4-7 


'C 


8-3 


A 


B 


C 


r 


^ 


B 


C 




1.0 


0.00 


0.00 


5-58 


5.18 


10.5 


8-3 


9-47 


13.8 


18.5 


13.8 


16.2 


1.1 


1. 11 


1 . 1 


1. 11 


4.8 


5 


7° 


4-S 


5 


29 


8.4 


10.6 


8 


4 


9-59J 


14 





18.8 


14 





16 


5 


1. a 


1.22 


1.2 


1. 21 


4.9 


5 


84 


4.0 


5 


41 


8-5 


10.7 


8 


5 


9.64 1 


14 


2 


19. 1 


14 


2 


16 


8 


1-3 


1-34 


i-3 


1.32 


5-° 


5 


98 


5-o 


5 


52 


8.6 


10.9 


8 


6 


9.76 


14 


4 


19.4 


14 


4 


17 





1.4 


i-45 


1-4 


1-43 


5.1 


6 


II 


5-i 


5 


64 


8.7 


11. 


8 


7 


9.88 


14 


6 


19.7 


14 


6 


17 


2 


1-5 


i-57 


1-5 


i-54 


5-2 


6 


24 


5-2 


5 


70 


8.8 


11. 2 


8 


8 


10.0 


14 


8 


20.0 


14 


8 


17 


5 


1.6 


1.69 


1.6 


1.65 


5-3 


6 


38 


5-3 


5 


8S 


8.9 


"•3 


8 


9 


10.2 


15 





20.3 


*5 





17 


8 


1-7 


I.80 


1-7 


t-75 


5-4 


6 


51 


5-4 


6 


00 


9.0 


"•5 


9 





10.3 


15 


2 


20.6 


i5 


2 


1 3 





i.S 


1.92 


1.8 


1.87 


5-5 


6 


64 


5-5 


6 


12 


9.1 


11. 6 


9 


1 


10.4 


15 


4 


20 9 


15 


4 


18 


2 


1.9 2.04 


1.9 


1.98 


5-6 


6 


7S 


5-6 


6 


23 


9.2 


11. 8 


9 


2 


10.6 


*5 


6 


21.2 


15 


6 


18 


5 


2.0 2.16 


2.0 


2.08 


5-7 


6 


a* 


5-7 


6 


35 


9-3 


11. 9 


9 


3 


10.7 


15 


8 


21.5 


i5 


8 


18 


7 


2.1 2.28 


2.1 


2.20 


5-8 


7 


05 


5-8 


6 


47 


9.4 


12.0 


9 


4 


10.8 


16 





21.8 


16 





J 9 





2.2 2 . 40 


2.2 


2.31 


5-9 


7 


18 


5-9 


6 


59 


9-5 


12.2 


9 


5 


10.9 


16 


2 


22.1 


16 


2 


19 


3 


2.3 2.52 


2.3 


2.42 


6.0 


7 


32 


6.0 


6 


71 


9.6 


12.3 


9 


6 


11. 


16 


4 


22.4 


16 


4 


IQ 


5 


2.4 2 . 64 


2.4 


2.53 


6.1 


7 


45 


6.1 


6 


83 


9-7 


12.5 


9 


7 


11. 1 


16 


6 


22 7 


16 


6 


19 


8 


2.5 2.76 


2.5 


2.64 


6.2 


7 


59 


6.2 


6 


95 


9.8 


12.6 


9 


8 


"•3 


16 


8 


23.0 


14 


8 


20 





2.6 2.89 


2.6 


2.76 


6-3 


7 


73 


6-3 


7 


07 


9.9 


12.8 


9 


9 


11. 4 


17 





23-3 


17 





20 


3 


2.7' 3.01 


2.7 


2.87 


6.4 


7 


86 


6. 4 


7 


18 


10. 


12.9 


10 





"■5 


17 


2 


23.6 


17 


2 


20 


5 


2.8 3.14 


2.S 
2.0 


2.99 


6.5 
6.6 


8 
8 


00 
14 


6-5 
6.6 


7 
7 


30 

42 


10.2 


13.2 
13-5 


10 


2 

4 


n. 7 

12.0 


17 
17 


4 

6 


23-9 

24.2 


17 
17 


4 

6 


20 
21 


8 


2.9 


3.26 


3- 10 





3-o 


3-39 


3.0 


3.21 


6.7 


8 


27 


6. 7 


7 


54 


10. 6 


13-8 


10 


6 


12.3 


17 


8 


24-5 


17 


3 


21 


I 


3- 1 


3-5i 


3-1 


3-32 


6.8 


8 


41 


6.8 


7 


66 


10.8 


14. 1 


10 


8 


12.5 


18 





24.8 


18 





21 


3-2 


3-64 


3 2 


3-43 


6.9 


8 


5 5 


6.9 


7 


73 


11. 


M-3 


11 





12.8 


18 


2 


25-1 


18 


2 


21 


8 


3-3 


3-77 


3-3 


3-55 


7.0 


8 


69 


7.0 


7 


90 


11. 2 


14.6 


11 


2 


13.0 


18 


4 


25-4 


18 


4 


22 





3-4 


3-89 


3-4 


367 


7-i 


S 


83 


7-i 


8 


02 


11. 4 


14.9 


11 


4 


13-3 


18 


6 


25-7 


18 


6 


22 


3 


3-5 


4.02 


3-5 


3-79 


7.2 


8 


Q C 


7.2 


8 


14 


11. 6 


15.2 


11 


6 


13-5 


iS 


8 


26.* 


18 


8 


22 


5 


3-6 


4-15 


3-6 


3-9o 


7-3 


9 


10 


7-3 


8 


27 


11. 8 


15-5 


11 


8 


13-7 


19 





26.3 


19 





22 


8 


3-7 4-28 


3-7 


4.01 


7-4 


9 


24 


7-4 


8 


38 


12.0 


15-8 


12 





14.0 


*9 


2 


26.6 


19 


2 


23 


1 


3.8 4.41 


3.8 


4-13 


7-5 


9 


33 


7.5 


8 


49 


12.2 


16. 1 


12 


2 


14.2 


19 


4 


26.9 


19 


4 


23 


I 


3-9 


4-54 






7.6 




52 


7.6 




62 








4 


14-5 


19 


6 


27.2 


19 


6 


23 


4.0 


4.66 


4.0 


4.36 


7-7 


9 


66 


7-7 


8 


74 


12.6 


16.7 


12 


6 


14.8 


19 


8 


27-5 


19 


8 


23 


9 


4.1 


4-79 


4-i 


4-47 


7.8 


9 


80 


7.8 


8 


87 


12.8 


17.0 


12 


8 


15-0 


20 





27.9 


20 





24 


1 


4-2 


4.91 


4-2 


4.60 


7-9 


9 


94 


7-9 


8 


99 


13.0 


17-3 


13 





15.2 


21 





29-5 


21 





25 


4 


4-3 


5-05 


4 3 


4.71 


8.0 10 


1 


8.0 


9 


11 


13.2 


17.6 


13 


2 


15-5 


22 





31-0 


22 





26 


7 


4-4 


5.18 


4.4 


4.82 


8.1 10 


2 


8.1 


9 


23 


i3-4 


17.9 


13 


4 


T 5-7 


23 





32.6 


23 





28 





4-5 


5-32 


4-S 


4-95 


8.2 10 


3 


8.2 


9 


35 


13.6 


18.2 


13 


6 


16.0 


24 





34-i 


24 





29 


3 


4.6 


5- 45 


4.6 


5.06 







































Column r, ratio of expansion 



-Yl 



.A 



^4, ratio of initial to final pressure, / 2 = ~^ 



j For dry steam, expanded Willi- 
's out gain or loss of heat in a 
l non-conducting cylinder. 

( For damp steam, expanded 
r " 1 receiving heat. 

- -^i j For dry steam, expanded re- 

= tb i ceiving sufficient heat to pre- 
r f vent liquefaction. 

Rule.— To find the final pressure obtaining with any ratio of expansion, divide the initial 
pressure bv 'he number opposite the ratio of expansion, in the column corresponding with the 
conditions of expansion. 



c, 



A = 



A 



24 



HANDY TABLES. 



>' 



o o 

w a 

& < 

fa w 

O 5 



•A^usprjja iZ* jo 
43iiog qjiM. jnojj 
jad J3Avdd-3SJOH 
pajHoipuj jad 1^03 




O 00 in w co ro 1000 roOM-MMHU"-. 0> 
•*• on t^vo \tn»H cMONtrnw « o< 


•m-Bsjg jo Aoasptjjg 


w 


CNi-fl-TfCNit^OONO t» roNO roco N cni O 

O ^ ^ O O" q 0"°0 '8 q H M M M M H 


•jnofj J3d j3A\od 
-asjopj parreoipaj 
aad papuadxa 1B3H 


'5 


tl(LHHinu)0>aNS Otti^ro OnOO rooo ro 
^ O 00 t-~ H r^oo noon C^M^^-roi-t^ nno 

c J. t i'lr9„ t i c J.**; t 5 £ ° °1 °° P. °, °, °, ■"£ °^ 

(t, 2 "* <> r^NO*" •<? ro cni" m ^ J d ifl 4 in 8 m* a 


•qt J3d 
ratals isrreqxg sq} 
qiiM. jjo paujBD 1B3H 


'5 


From 
212° F. 
933-2 
932.6 
933-4 
934-5 
936.3 
939-7 
943-1 
946.1 

From 
212° F. 
899.7 
893.2 
890.0 
888.4 
887.4 
887.7 
888.8 
890.2 


•UIB31S 

jo *qi J3d pajBaip 

-UI J3MO(J 3A130 j\[ 

oiiii pauaAuob aBapi 




00 -*no m t^ ro on on rooo no no ro cm 00 

t^ -*• 00 h M-00 OCni m ro cni t>. ro moo 
iono nO NN C^oo 00 ONOcMCNirororo 


'ra^ais jo *qi 
jad papuadxa ibsjj 


'5 


flfc, M SNnO HOO *ON OIL H NOVO HM Nt ON 
B" OOiO O K m M « ConOnOOhhCnICnI 

on on 0^ q_ q. q. go on on q. 0^ q^ q_ 

^J 2 H H H M M' H fe 2 


•meais jo -qi 
aad uoismjdxg; Sni 
-jnp p'aij-edaii 3B3H 


"5 


OOOOOOOO OOOOOOOO 


'uresis 

jo - qt jsd jap 
-U11A3 Jguuajua 'jesjj 


'a 


dt h NNvO HOO NtON C|l H NNNO MOO * ON 
OonOnOQwmNM C^aOOOHHNti 

Oo ONONOoq_q.oq. g ononoooooo 

fc 2 H H H H m' H fe 2 


•ainuitu jad 
•jj o££ jo psads qiiA\ 
jaMod-asjoH pai'ea 
-ipu j jad Bajv uojsij 


in 


r^NO onno in •* ro 10 on -*no t^ 10 - cni 

t) lOM 0>MflN+m CO ONNfM onno lO Tf 

cJ hmo dodo nhmhoooo 


A ' JTlOH 

jad jaMod-ssjofj 
pa^oipui jad 
luamaDiqdsiQ uoisij 


3 

U 


O O SOCONO NCI CnI-* lOOO ro On ■* On 
ro <n ro Cni cni -<i-oo 00 NOodoNtONo'ts 
h mno roo t>m -t onno no CJ 00 t^ tr> 


■uiBajg jo *qj jad 
luamaoBidsiQ uoisij 


U 


ONO N t^co ->)- ro ro ON-* ->j-vO CO no NO 
O 0) r^oo cororoin uiitinn ^no 
ir> on r*-oo 00 00 iono OM "in r-NO ro 
O ro roNO ONCNioom h nm<-u»inm 


A ' Jn ° H 

jai J3Mod-3sjoH 
pa;BDipuj jad m^ais 


.0 


■"3- On ^J-OO •«*- r» r>« On tr, On ON00 NOi* 
■^-ONt^m^-CNii-io oinNtn h ao 


•raBajg jo 'QI 
43d spo^. psjBDipui 




O 00 CM t*- ro 10 -*nO itn On Cni roNO Cn) 
nO^no^ ON C?NO ■* ■? 3 ? h? °Pco *no 5; 8 
Tj-ONCNlirit^ON'f o'ONo'o'Lo6"4-rC 

■Nj- rj- IO IO IONO NO NO NOO 00 ON ON O 


•3SB3[a"a its ajnssajjj 


•^ 


OOOOOOOO 00OOinO>J->O 
NDCC 5 « mo >10 ro-* iono C^ Cni ir> 


•ajnssaJd spng uBsptf 


■s 


NO NO NO NO NO NO VO NO NO NO NO NO NO NO NO NO 


•ajnssajj 

3Ap03Jjg UB3J\[ 


■* 


T *"5" ,, "S"'*■* T '' ,, ■ f^^O NO IO On N lOOO 
■*no 00 O rooo rooo 


•ajnssajd \eioi ubsh 


a 


00000000 t^NO no in On cni inoo 
NOOO « io5"iO 

H-MMOCNlrO NtHlO Oh ff| 


•uoisuBdxg jo oub^ 


< 


„„„ HH CCCCCSNCC 


•ui "bs jsd ajnssajd 
airqosqe ibijiui 


•s 


jjj «»8 8° ? 8Po§ > % ^«o8 9n8Po8 
G 



HANDY TABLES. 



25 





moo n •* o\ h n 

t^N OOOVO mf CO 




O ON t^VO 00 tx VO 
ONNO in -<t- m N Pi H 




N onn mo m t* ■»*• 
incn<n<NNMqq 




-* O OM 00 in •<*■ m 
on « m m m i-»oo on 

M M M H M M H 




pj -n •* onvO g «oo 
en -*vo t^oo >■> m 




ftlflfll 


at* 

Oo 


rC e« o'oo'vo in m m 


Efa 
? a 

<Z jjj 


o>co vo^ in r^vo_ c> in 


Bfa 

Oo 

fa 


invo *«nom m 


a fa 

Oo 

fa 5 


CO CO COCO CO CO 00 00 
VO vo vo VO VO vO VO VO 
ONONONONONONONOV 


sfa 

Oo 
fa 


ONONOvONOvONO'ON 

3_ S q 3 q_ 0^ 3_ 3_ 


Bfa' 

Oo 
fa 


q_ 0^ q q_ q q_ 




2 ^H" m mI? 5 N 




qqoqooqq 

ON P) 6 NO N t--NO H 




vo ovSrto> + moo 


afa 

Oo 


00 h ouiho mo 


Bfa 

fa s 


< S. H SlONOM 


Bfa 


fa 


t^ ON H <N -<*-NO 00 O 








£ S; m &%£ K. 




t-» On i-> m -s-vo r-» 




^1-0 P) mH+* 


afa 
fa ► 


*0>0 0» h a n 

on on q_ 0^ o_. q o_ o_ 


0fa 

Oo 

fa c 


M^ N^ mS 


£ 2 


OoS'Sjl™ mm 




•«*• ON « ON"* 00 00 -«h 
mvo M CO vO N O ON 
■* mmti oi N N M 




f vooo tms in 




O OnCO 00 r~ t^vo VO 




mvo tONtsO 10 




in-^-vN q^^f^o 




'tti oonOco q m 

VO CO v>VO t^ 




•^J--*-*-'*--*'*-*-* 




mmmrommmro 




00 CO 00 CO CO CO CO CO 




t^ on N moo onco O 
in 00 vd -<j- pi m' w 




H O 00 00 O ON P) 00 

lO+NH HQ> ONCO 




S^aKES 




8^ Jo 0"^^ pT 0" 




VOP)000PJP)00 

n' 0" -<t-vo 6^00" m •£ 




« 00 Ti-vo CO 00 vo vo 
inoomoot-in 

^ ^ t ^ t t ° vq_ 
vo' -tf-co' 6 m fT tCoo" 
VOCO O" N * mvo 




\n\ovOvovovovovo 




VO VO VO VO VO VO vo VO 




mmmmmmmm 




\D\OvovovcvovOvo 




„«n««™«m 




-commmmmm 




m m vo m vo CO w 




OwmNOmvOCOm 








%m^ji 




O m m vo m vo 00 « 




SffJJswS 




Th m mvo w \o m in 

m ■$- mvd 00 mm 




2335 £a2 




vo mvo n on m m in 


m 

A 




v8c8885»|88 


cd 
G 


00000000 

iOCOON>no>nO 




00000000 

voooooiinoino 

« « m n n ro 



c ^ ° 



o y v. 



h « merino 



26 



HANDY TABLES. 



VI. 



COMPARISON OF THERMOMETERS. 



Celsius. 


Reaumur. 


Fahren- 
heit. 


Celsius. 


Reaumur. 


Fahren- 
heit. 


Celsius. 


Reaumur. 


Fahren- 
heit. 


— 20 


-16 


-4 


25 


20.0 


77.O 


70 


56.O 


158.O 


-19 


-15.2 


— 2.2 


26 


20.8 


78.8 


71 


56.8 


159.8 


— 18 


-T4.4 


-O.4 


27 


21.6 


80.6 


72 


57-6 


161. 6 


— 17 


— 13. 6 


1.4 


28 


22.4 


82.4 


73 


58.4 


163.4 


-16 


— 12.8 


3-2 


29 


23.2 


84.2 


74 


59-2 


165.2 


-15 


—12.0 


5.0 


30 


24.O 


86.O 


75 


60.0 


167.0 


—14 


— II. 2 


6.8 


31 


24.8 


87.8 


76 


60.8 


168.8 


-13 


— IO.4 


8.6 


32 


25.6 


89.6 


77 


61.6 


170.6 


—12 


-9.6 


10.4 


33 


26.4 


91.4 


78 


62.4 


172.4 


— II 


-8.8 


12.2 


34 


27.2 


93-2 


79 


63.2 


174.2 


— IO 


-8.0 


14.0 


35 


28.0 


95.o 


80 


64.0 


176.0 


—9 


-7.2 


15.8 


36 


28.8 


96.8 


81 


64.8 


177.8 


—8 


-6.4 


17.6 


37 


29.6 


98.6 


82 


65.6 


179.6 


-7 


-5-6 


19.4 


38 


30.4 


100.4 


83 


66.4 


181. 4 


-6 


-4.8 


21.2 


39 


31.2 


102.2 


84 


67.2 


183.2 


-5 


-4.0 


23.0 


40 


32.O 


104.0 


85 


68.0 


185.0 


-4 


-3-2 


24.8 


41 


32.8 


105.8 


86 


68.8 


186.8 


-3 


-2.4 


26.6 


42 


33-6 


107.6 


87 


69.6 


188.6 


—2 


— 1.6 


28.4 


43 


34-4 


109.4 


88 


70.4 


190.4 


—1 


-0.8 


30.2 


44 


35-2 


in. 2 


89 


71.2 


192.2 








32.0 


45 


36.0 


113. 


90 


72.0 


194.0 


I 


0.8 


33-8 


46 


36.8 


114. 8 


91 


72.8 


195.8 


2 


1.6 


35-6 


47 


37-6 


116. 6 


92 


73-6 


197.6 


3 


2.4 


37-4 


48 


38.4 


118. 4 


93 


74-4 


199.4 


4 


3.2 


39-2 


49 


39-2 


120.2 


94 


75-2 


201.2 


5 


4.0 


41.0 


50 


40.0 


122.0 


95 


76.0 


203.0 


6 


4.8 


42.8 


51 


40.8 


123.8 


96 


76.8 


204.8 


7 


5.6 


44.6 


52 


41.6 


125.6 


97 


77.6 


206.6 


8 


6.4 


46.4 


53 


42.4 


127.4 


98 


78.4 


208.4 


9 


7-2 


48.2 


54 


43-2 


129.2 


99 


79.2 


210.2 


10 


8.0 


50.0 


55 


44.0 


131. 


100 


80.0 


212.0 


11 


8.8 


51.8 


56 


44-8 


132.8 


IOI 


80.8 


213.8 


12 


9.6 


53-6 


57 


45-6 


134.6 


102 


81.6 


215.6 


13 


10.4 


55-4 


58 


46.4 


136.4 


103 


82.4 


217.4 


14 


11. 2 


57.2 


59 


47.2 


138.2 


104 


83.2 


219.2 


15 


12.0 


59-o 


60 


48.0 


140.0 


105 


84.0 


221.0 


16 


12.8 


60.8 


61 


48.8 


141. 8 


106 


84.8 


222.8 


17 


13-6 


62.6 


62 


49.6 


143.6 


107 


85.6 


224.6 


18 


14.4 


64.4 


63 


50.4 


145-4 


108 


86.4 


226, 4 


19 


15.2 


66.2 


64 


51.2 


147.2 


109 


87.2 


228.2 


20 


16.0 


68.0 


65 


52.0 


1490 


no 


88.0 


230.0 


21 


16.8 


69.8 


66 


52.8 


150.8 


III 


88.8 


231.8 


22 


17.6 


71.6 


67 


53-6 


152.6 


112 


89.6 


233.6 


23 


18.4 


73.4 


68 


54-4 


154-4 


113 


90.4 


235.4 


24 


19.2 


75-2 


69 


55-2 


156.2 


114 


91.2 


237.2 



HANDY TABLES. 
Comparison of Thermometers — Continued. 



2/ 



Celsius. 


Reaumur. 


Fahren- 
heit. 


Celsius. 


Re'aumur. 


Fahren- 
heit. 


Celsius. 


Reaumur. 


Fahren- 
heit. 


115 


92.0 


239.O 


127 


101.6 


260.6 


139 


III. 2 


282.2 


116 


92.8 


240.8 


128 


102.4 


262.4 


140 


112. 


284.0 


"7 


93-6 


242.6 


129 


103.2 


264.2 


141 


112. 8 


285.8 


118 


94-4 


244.4 


130 


104.0 


266.O 


142 


II3-6 


287.6 


119 


95-2 


246.2 


131 


104.8 


267.8 


143 


114. 4 


289.4 


120 


96.0 


248.O 


132 


105.6 


269.6 


144 


115. 2 


291.2 


121 


96.8 


249.8 


133 


106.4 


271.4 


145 


Il6. 


293.0 


122 


97.6 


251.6 


134 


107.2 


273-2 


I46 


116. 8 


294.8 


123 


98.4 


253-4 


135 


108.0 


275.0 


147 


117. 6 


296.6 


124 


99.2 


255.2 


136 


108.8 


276.8 


I48 


118. 4 


298.4 


125 


100. 


257-0 


137 


109.6 


278.6 


149 


119. 2 


300.2 


126 


100.8 


258.8 


138 


no. 4 


280.4 


I50 


120.0 


302.0 



28 



HANDY TABLES. 



VII. 

DENSITIES AND VOLUMES OF WATER. 
Kopp; Corrected by Porter. 



Temperature. 


Volume, Kopp. 


Corrected Vol- 
ume. 


Differences. 


F. 


C. 










39-2 


4 


I . OOOOO 


I. OOOOO 






41.0 


5 


I. OOOO I 


I.OOOOI 


24 

58 
88 
115 
139 
161 
181 
200 
219 
237 
255 
273 
290 

307 
324 
34i 

357 
373 

389 




51.8 


10 


I.OO025 


I.OOO25 


34 


59.0 


15 


1.00082* 


I . OOO83 


30. 


68.0 


20 


I. OO169 


I.OO171 


27 


77.0 


25 


I . 00284 


I.OO286 


24 


86.0 


30 


I . 00423 


I.OO425 


22 


95-0 


35 


I.OO583 


I.OO586 


20 


104.0 


40 


I.OO768 


I.OO767 


19 


113-0 


45 


I.OO967 


I.OO967 


19 


122.0 


50 


I.OH9O 


I.OII86 


18 


131. 


55 


I. OI423 


I. 01423 


18 


140.0 


60 


I. 01672 


I. 01678 


18 


149.0 


65 


I. OI943 


I.OI951 


17 


150.0 


70 


I.02238 


I. 02241 


17 


167.0 


75 


I.02554 


I.02548 


17 


176.0 


80 


I. 02871 


I.02872 


17 


185.0 


85 


I.03202 


I. 03213 


16 


194.0 


90 


1.03553 


I.03570 


16 


203.0 


95 


I. 0392 I 


I -03943 


16 


212.0 


100 


I. 043 12 


I.O4332 





Weights and Volumes. 





Ratio of 






Ratio of 






Ratio of 




i 
2 


volume to 
that of 


Weight 


6 

9 


volume to 
that of 


Weight 
of a 
cubic 
foot. 




3 


volume to 
that of 


Weight 
of a 
cubic 
foot. 


u 

Q. 


equal 
weight at 


cubic 
foot. 




a 


equal 
weight at 


a 


equal 
weight at 


a 


maximum 




a 


maximum 




a 


maximum 


density. 




H 


density. 




u 

H 


density. 




Fah 


r. 


Lbs. 


Fah 


r. 


Lbs. 


Fahr. 




Lbs. 


32 


1. 000129 


62.417 


210 


1.04226 


59.894 


39° -° 


1. 15538 


54.030 


39 


1 1 


000000 


62.425 


212 


1. 04312 


59-707 


400. 


1 


16366 


53-635 


40 


1 


000004 


62.423 


220 


1.04668 


59.641 


410. 


1 


17218 


53-255 


5° 


1 


000253 


62.409 


230 


1. 05142 


59-372 


420. 


1 


18090 


52.862 


60 


1 


000929 


62.367 


240 


1.05633 


59-096 


430. 


1 


18982 


52.466' 


70 


1 


001981 


62 . 302 


250 


1. 06144 


58.812 


440. 


1 


19898 


52.065 


80 


1 


00332 


62.218 


260 


1.06679 


58.517 


45°- 


1 


20833 


51.662 


90 


1 


00492 


62.119 


270 


1.07233 


58.214 


460. 


1 


21790 


51.256 




1 


00686 


62 . 000 


280 


1.07809 


57.903 


470. 


1 


22767 


50.848 


no 


1 


00902 


61.867 


290 


1.08405 


57-585 


480. 


1 


23766 


50-438 


120 


1 


01143 


61.720 


300 


1.09023 


57-259 


490. 


1 


24785 


50 . 026 


130 


1 


01411 


61.556 


310 


1. 09661 


56.925 


500. 


1 


25828 


49.611 


140 


1 


01690 


61.388 


320 


1 . 10323 


56.584 


510. 


1 


26892 


49-195 


150 


1 


0199s 


61.204 


33° 


1 . 1 1005 


56.236 


520. 


1 


27975 


48.778 


160 


1 


02324 


61.007 


340 


1. 1 1706 


55-883 


53° • 


1 


29080 


48.360 


170 


1 


02671 


60.801 


350 


1.12431 


55-523 


540. 


1 


30204 


47.941 


180 


1 


03033 


60.587 


360 


i-i3 J 75 


55-I58 


55°- 


1 


3*354 


47-521 


190 


1 


0341 1 


60 . 366 


37° 


1. 13042 


54-787 








200 


1.03807 


60.136 


380 


1. 14729 


54-4" 









HANDY TABLES. 

VIII. 

TEMPERATURES AND PRESSURES, SATURATED STEAM. 
IN METRIC MEASURES AND FROM REGNAULT. 



2 9 



a 


Steam-pressure. 


2 

4) 

a 

a 


Steam-pressure. 


0. 
S 


In Centimetres. 


In Atmospheres 


In Centimetres. 


In Atmospheres 


H 






H 






- 32° C. 


O.0320 


O . 0004 


+ 14° C. 


I . 1908 


O.OI6 


31 


O.0352 


0.0005 


15 


I.2699 


O.OI7 


30 


O.0386 


O.OOO5 


16 


1-3536 


O.OI8 


29 


O.0424 


O . 0006 


17 


I. 4421 


0.019 


28 


O . 0464 


O.OO06 


18 


1-5357 


0.020 


27 


O.0508 


0.0007 


19 


1.6346 


0.022 


26 


O.0555 


0.0007 


20 


1 -7391 


0.023 


25 


O.0605 


O . 0008 


21 


1.8495 


0.024 


24 


O . 0660 


O . 0009 


22 


1.9659 


0.026 


23 


O.0719 


O . 0009 


23 


2.0888 


0.028 


22 


O.0783 


0.0010 


24 


2.2184 


0.029 


21 


O.0853 


O.OOII 


25 


2.3550 


0.031 


20 


O.0927 


0.0012 


26 


2.4988 


0.033 


19 


0. 1008 


0.0013 


27 


2.5505 


0.034 


18 


O.IO95 


0.0014 


28 


2.8101 


0.037 


17 


O. 1189 


0.0015 


29 


2.9782 


0.039 


16 


O.129O 


0.0017 


30 


3.I548 


0.042 


15 


O.I4OO 


0.0018 


3i 


3.3406 


0.044 


14 


O.1518 


0.0020 


32 


3-5359 


0.047 


13 


O.1646 


0.0022 


33 


3-74H 


0.049 


12 


O.I7S3 


. 0024 


34 


3-9565 


0.052 


II 


O.I933 


0.0025 


35 


4.1827 


0.055 


10 


O.2093 


0.0027 


36 


4.4201 


0.058 


9 


O.2267 


0.0030 


37 


4.6691 


0.061 


8 


O.2455 


0.0032 


38 


4.9302 


0.065 


7 


O.2658 


0.0035 


39 


5.2039 


0.068 


6 


O.2S76 


0.0038 


40 


5.4906 


0.072 


5 


0.3"3 


c.0041 


4i 


5-7910 


0.076 


4 


0.3368 


0.0044 


42 


6.1055 


0.080 


3 


0.3644 


0.0048 


43 


6.4346 


0.085 


2 


0.394I 


0.0052 


44 


6.7790 


0.089 


1 


O.4263 


0.0056 


45 


7-I39 1 


0.094 





O . 460O 


0.0061 


46 


7-5158 


0.099 


+ * 


O.494O 


0.0065 


47 


7.9093 


0.104 


2 


0.5302 


0.0070 


48 


8.3204 


0.109 


3 


O.5687 


0.0073 


49 


8.7499 


0.115 


4 


O.6097 


0.0080 


50 


9.1982 


O.I2I 


5 


O.6534 


0.0086 


5i 


9.6661 


O.I27 


6 


O.6998 


. 0092 


52 


10.1543 


O.I34 


7 


O.7492 


0.0199 


53 


10.6636 


O.I4O 


8 


O.8017 


0.0107 


54 


11. 1945 


O.I47 


9 


O.8574 


O.OII 


55 


11.7478 


O.I55 


10 


O.9165 


0.012 


56 


12.3244 


O.163 


11 


O.9792 


0.013 


57 


12.9251 


O.I7O 


12 


I.0457 


0.014 


58 


13.5505 


O.I78 


13 


I.II62 


0.015 


59 


14.2015 


O.187 



30 



HANDY TABLES. 



Temperatures and Pressures, Saturated Steam — Continued. 





Steam-pressure. 


6 

a 


Steam-pressure. 


Q. 

s 


In Centimetres. 


In Atmospheres 


In Centimetres. 


In Atmospheres 


-j- 6o° C. 


14.8791 


0.196 


+no c? C. 


107.537 


1. 415 


6i 


15.5839 


O.205 


in 


1 1 1. 209 


I.463 


62 


16.3170 


0.215 


112 


114.983 


I-5I3 


63 


17.0791 


O.225 


113 


118. 861 


I.564 


64 


17.8714 


0.235 


114 


122.847 


1. 616 


65 


18.6945 


O.246 


115 


126.941 


I.670 


66 


19.5496 


0.257 


116 


I3LI47 


I.726 


67 


20.4376 


0.267 


117 


I35.466 


I.782 


68 


21.3596 


0.281 


118 


139.902 


1. 841 


69 


22.3165 


0.294 


119 


144-455 


1. 901 


7o 


23-3093 


O.306 


120 


149.128 


I.962 


7i 


24-3393 


O.320 


121 


I53.925 


2.025 


72 


25-4073 


o.334 


122 


158.847 


2.091 


73 


26.5147 


o.349 


123 


163.896 


2.157 


74 


27.6624 


0.364 


124 


169.076 


2.225 


75 


28.8517 


0.380 


125 


174.388 


2.295 


76 


30,0838 


0.396 


126 


179.835 


2.366 


77 


31.3600 


0.414 


127 


185.420 


2.430 


78 


32.6811 


0.430 


128 


191. 147 


2.515 


79 


34.0488 


0.448 


129 


197.015 


2.592 


80 


35.4643 


0.466 


130 


203.028 


2.671 


81 


36.9287 


0.486 


131 


209. 194 


2.753 


82 


38.4435 


0.506 


132 


215.503 


2.836 


83 


40 OIOI 


0.526 


133 


221.969 


2.921 


84 


41.6298 


O.548 


134 


228.592 


3.008 


85 


43.3041 


0.570 


135 


235.373 


3.097 


86 


45.0344 


o.593 


136 


242.316 


3.18S 


87 


46.8221 


0.616 


137 


249.423 


3.282 


88 


48.6687 


0.640 


138 


256.700 


3.378 


89 


50.5759 


0.665 


139 


264.144 


3.476 


90 


52.5450 


0.691 


140 


271.763 


3-576 


91 


54.5778 


0.719 


141 


279-557 


3.678 


92 


56-6757 


0.746 


142 


287.530 


3.783 


93 


58.8406 


0-774 


143 


295.686 


3.890 


94 


61.0740 


0.804 


144 


304 . 026 


4.000 


95 


63.3778 


O.834 


145 


312.555 


4-IT3 


96 


65-7535 


0.865 


146 


321.274 


4.227 


97 


68.2029 


0.897 


147 


330.187 


4-344 


98 


70.7280 


0.931 


148 


339.298 


4.464 


99 


73-3305 


0.965 


149 


348.609 


4.587 


100 


76 . 000 


1. 000 


150 


358.123 


4.712 


101 


76.7590 


1.036 


151 


367-843 


4.840 


102 


81.6010 


1.074 


152 


377-774 


4.971 


103 


84.5280 


1. 112 


153 


387.918 


5.104 


104 


87.5410 


1. 152 


154 


398.277 


5.240 


105 


90 6410 


I- 193 


155 


408.856 


5.38o 


106 


93.8310 


1.235 


156 


419.659 


5-522 


107 


97.1140 


I.278 


157 


430.688 


5-667 


108 


100.4910 


1.322 


158 


441.945 


5.815 


109 


103.965 


1.368 


159 


453436 


5.966 



I1AXDY TABLES. 



31 



Temperatures and Pressures, Saturated Steam —Continued. 



V 






S 






3 


Steam-pressure. 


D 

a 
5 

h 


Steam-pressure. 


O. 

a 


In Centimetres. 


In Atmospheres 


In Centimetres. 


In Atmospheres 


-f-i6o°C 


465.162 


6.120 


+196°C. 


1074.595 


14-139 


161 


477.128 


6.278 


197 


IO97.500 


14.441 


162 


439-336 


6-439 


198 


II20.9S2 


14-749 


163 


501.791 


6.603 


199 


II44.746 


15.062 


164 


5M-497 


6.770 


200 


H68.S96 


I5-380 


165 


527-454 


6.940 


201 


1193.437 


I5.703 


166 


540.669 


7. 114 


202 


1218.369 


16.031 


167 


554.143 


7.291 


203 


1243.700 


16.364 


168 


567.882 


7.472 


204 


1269.430 


16.703 


169 


5S1.89O 


7.656 


205 


1295.566 


17.047 


170 


596. 166 


7.844 


206 


1322. 112 


17.396 


171 


610.719 


8.036 


207 


I349-075 


I7-75T 


172 


625.548 


8.231 


208 


1376.453 


18. in 


173 


640.660 


8.430 


209 


I404.252 


18.477 


374 


656.055 


8.632 


210 


I432.480 


18.848 


175 


671.743 


8.839 


211 


I46I.I32 


19.226 


176 


687.722 


9.049 


212 


1490.222 


19.608 


177 


703.997 


9.263 


213 


I519.748 


19.997 


178 


720.572 


9.481 


214 


1549.717 


20.391 


179 


737-452 


9-703 


215 


I580.I33 


20 .791 


180 


754.639 


9.929 


216 


161O.994 


21.197 


181 


772.137 


IO.150 


2J7 


1642.315 


21.690 


182 


789.952 


IO.394 


218 


1674.O9O 


22.027 


183 


808.084 


IO.633 


219 


1706.329 


22.452 


184 


826.540 


IO.876 


220 


I739.O36 


22.882 


185 


845-323 


II. 123 


221 


1772.213 


23-3I9 


186 


864.435 


n-374 


222 


I805.864 


23.761 


T87 


883.882 


11.630 


223 


I839.994' 


24.210 


188 


903.668 


11.885 


224 


I874.607 


24 . 666 


189 


923-795 


12.155 


225 


I9O9.704 


25.128 


190 


944.270 


12.425 


226 


I945.292 


25-596 


191 


965-093 


12.699 


227 


I981.376 


26.071 


192 


986.271 


12.977 


228 


2OI7.96I 


26.552 


193 


10C7.S04 


13.261 


229 


2055.048 


27.040 


J 94 


1029.701 


13-549 


230 


2092 . 640 


27-535 


195 


1051.963 


13.842 









HANDY TABLES. 



IX. 



METRIC STEAM AND WORK TABLE. 



Abso?ute pres- 
sures in Atmos 
phere. 


Specific volumes 
v e in Cu. meters. 


Product p e v e . 


W - 26l2 7-34 
1000 p e v e 


W . p e . 


O.l 


14.504 


I.450 


18.OIO 


1. 801 


0.2 


7.525 


I.505 


17.418 


3.483 


0-3 


5.128 


I.540 


16.960 


5.088 


O.4 


3.908 


I.560 


16.75O 


6.700 


0.5 


3.165 


I.580 


16.530 


8.265 


O.6 


2.665 


I.600 


16.339 


9.803 


0.7 


2.304 


1. 6lO 


16.230 


11. 361 


O.8 


2.031 


I.620 


I6.I20 


12.896 


O.9 


1. 818 


I.630 


I6.020 


14.418 


I.O 


I.646 


I.646 


15.870 


15-870 


I.I 


1.505 


1.655 


15.780 


17.385 


1.2 


I.386 


I.663 


I5.7IO 


18.852 


1.3 


I.285 


I.670 


I5.64O 


20.332 


1.4 


1. 199 


I.680 


I5.540 


21.756 


1-5 


1. 123 


I.684 


I5-5IO 


23.265 


1.6 


1.057 


1. 691 


15-450 


24.720 


1-7 


0.999 


I.699 


I5-370 


26.129 


1.8 


0.946 


I.703 


I5-340 


27.612 


1.9 


0.899 


I.708 


I5- 2 90 


29.051 


2.0 


0.857 


I.7I4 


15-243 


30.486 


2.1 


0.819 


I. 718 


I5.208 


31-937 


2.2 


0.784 


1-725 


I5-I46 


33-321 


2.3 


0.751 


I.727 


15.128 


34-794- 


2.4 


0.722 


1-733 


I5.O76 


36.182 


2.5 


0.695 


1. 741 


15.002 


37.505 


2.6 


0.670 


1.742 


I4.99O 


38.974 


2.7 


0.646 


1.744 


I4.97O 


40.190 


2.8 


0.625 


I.750 


I4.929 


41.S01 


2.9 


0.604 


1.752 


14.921 


43.271 


30 


0.586 


1.758 


I4.86I 


44-583 


3-1 


0.568 


1. 761 


I4.838 


45-99* 


3-2 


o.55i 


1.763 


I4.818 


47.417 


3-3 


o.535 


1.765 


I4.79O 


48 807 


3-4 


0.521 


1. 771 


14 • 749 


50.146 


3-5 


0.507 


1-774 


14.723 


51.330 


3-6 


0-493 


1-775 


14.720 


52.992 


3-7 


0.481 


1.780 


14.680 


54.310 


3-8 


0.469 


1.782 


14 . 660 


55.708 


3-9 


0.458 


1.786 


14.630 


57.057 


4.0 


0.447 


1.788 


14.61 


58.440 


4.1 


o.437 


1.792 


14.58 


59-778 


4.2 


0.427 


1-793 


14.56 


61.152 


4-3 


0.418 


1.797 


14.53 


62.479 


4-4 | 


0.409 


1.799 


1452 


63.888 



HANDY TABLES. 
Metric Steam and Work Table — Continued. 



33 



Absolute pres- 
ure p in At- 
mospheres. 


Specific volumes 
v, in Cu. meters. 


Product p e v,. 


W _ 26127.34 
1000 p„ v e 


w. Pe . 


4-5 


O.400 


I.800 


14-51 


65-295 


4 


6 


O.392 


I 


803 


14 


49 


66.654 


4 


7 


O.384 


I 


805 


14 


45 


67.9I5 


4 


8 


0-377 


I 


8lO 


14 


43 


69 . 264 


4 


9 


O.370 


I 


813 


14 


41 


70.609 


5 


o 


O063 


I 


815 


14 


39 


7I-950 


5 


i 


0.356 


I 


816 


14 


38 


73-338 


5 


2 


0.350 


I 


820 


14 


36 


74.672 


5 


3 


0.343 


I 


821 


14 


35 


76.055 


5 


4 


0.337 


I 


823 


14 


33 


77.382 


5 


5 


0.332 


I 


825 


14 


31 


78.705 


5 


6 


O.326 


I 


826 


14 


30 


80.080 


5 


7 


O.321 


I 


829 


14 


26 


81.282 


5 


8 


O.316 


I 


833 


14 


25 


82.650 


5 


9 


O.311 


1 


835 


14 


24 


84.016 


6 


o 


O.306 


I 


836 


14 


23 


85.380 


6 


25 


O.294 


I 


838 


14 


21 


88.812 


6 


5 


O.284 


I 


845 


14 


16 


92 . 040 


6 


75 


O.273 


I 


848 


14 


13 


95-377 


7 


o 


O.265 


I 


855 


14 


10 


98.700 


7 


25 


O.256 


I 


856 


14 


07 


100.997 


7 


5 


O.248 


I 


860 


14 


04 


105.300 


7 


75 


O.241 


I 


867 


13 


99 


108.422 


8 


o 


O.234 


I 


872 


13 


96 


in. 680 


8 


25 


O.227 


I 


873 


13 


95 


114.077 


• 8 


5 


0.22I 


I 


878 


13 


91 


118.235 


8 


75 


O.215 


I 


881 


13 


89 


121-537 


9 


o 


O.209 


I 


883 


13 


86 


1.24 . 740 


9 


25 


O.204 


I 


887 


13 


84 


128.020 


9 


5 


O.199 


I 


89I 


13 


81 


I3I-I95 


9 


75 


O.I94 


I 


893 


13 


80 


1.34 -5 50 


10. o 


0.190 


I.90O 


13-75 


137.500 



34 



HANDY TABLES. 



X 





tfifid 












agis-s 




- beoj^ 

<U C "5 5 




-C'-S <u « 




e- s-^-2 




•§c£ 




«• rt o s 








Jill 




^E > c 








^2-^ 












.2S-G . 




*TJ rt O 




<U <D — .£3 




4) « £ rt 

•S3- £ 




§13° 2 


< 


based up 
ies were c 
two parts 
h measure 


H 






ccHr 
•2 g m 




<L> u C . 


< 


So - g | 


D 
H 

< 


eer in th 
nts. Th 
direct ex 
k of exp 


h 





o ^ 



o 


I'll <*JC 


Oh 


al'S-o 




rt u C <u 












"is re C OX) 




,w <D'ri C 




'« b ™'3 




> rt.Q «J ^ 




'be £ ° "o be 












^Sg^-S 




: ?Pfl"5)gi 




o £ rt ^ 5 






5 "3 -^ «U ^ 








1 <"•* =TD 




• 3 rt ' C 




to ft^S-a = 




^ & ;a« 




41.5 CJ-3 



^ 3 £ « 

3 Qt3 is 



spunod ui 


•q3ui 3JBnbs jsd 

'uinnoBA b 3AoqB sjncssjj 


ft, 


m « ,-o ^ m>o tvoo on 


H«n + 


* 
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mvo N 




a" 
S 

o 
> 


•Aiisusp ranmixBra jo 
ainjBJsdmsi jb J3}ba\ psupsip 
jo iqSisM renbs jo smnioA 
oj mB3;s jo sumjoA jo opB^ 


^ 


ro o moo O NO N N g. M 


OnO m m 


VO 


•^■fTN-* 




t^io-froropt M« 


<N M M M 


H 






•J33J 

oiqno ui uresis jo punod b jq 


<o 


"m H W "^^ ^ "*■ "* ^ 


!?!1 


l 






•spunod 
hi 'uiB3is jo 5ooj oiqno b jo 3qSpM 


b 


I>.O0 <M N H tv(50 NO ■<*- t^ 

Ooo lom t^roON^-ON-*- 

oooooqoooo 








1 2^ 

ooo 


at 
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1 
CO 

>» 
JJJ 

s 


< 
X 
o 

H 
P 
z 

a 


•uoUBJodBAS jo sium ui ' z£ 

SAOqB UOIlBJOdBA3 JO IBSq IBIOX 


fc) 


CN) On t>- m N C^OO fv -fl- O 
LO LOND NO t"^ t"^ C^ O t^OO 


-*■ t^ o> "1 


ON 


III 


'5 

a 

H 
CO 


% 

*rt O-OO 
™ rtj3 ,i 
O > rt II 


^ 


-^t" i-i NO -3-00 On t^ rOOO 


K^lf 






NO 


HI 


c 
o 

a 


Latent heat of 

evaporation 

at pressure P 

= / + £. 


<l 


>"<1 <^)00 -<l-NO -rl-NO CN1 


o"rn tQ 


c 


m co 


1 
Q 


f>NO loi-^O NOONO <N ON 

OOOOOOnOnOnOnOn 


I:g|« 


ON 


«i:i 


* rtJ3 


^ 


Oi^-mroO Mm (NNO 

NO " NO t^NO tOO H in 


«UE 


s 


n+Oh 


k 


nS NOVO O NO ^O NOnS" ° S. 


---- 


■R. 


B.8.R 


o 

> 


"rt *j 

c c 4.: 
u <u ed 

*j rt u 


s 


vo tn t>- O-oo •*■ m rf cni 
no^MfiB onoco mNo 

M m' CnO rOI^MNO NOO 

CCNO^-i-Tj-rON (N H - 


a^H 


c^ 


fN-i oo 


,- 

o 

1 

s 

is 


Required to 

raise the 

temperature 

of the water 

from 32 to T°. 


to 


HKKl.»3ft§ 


^2S 


ft 


"o S^th 


1 
1 


t^ONO cni nnNtio u-ino 


M H M S" 





< S C S ( 2 


* 


•S33JS3P iisqaajq^ji 'ajmBJsdaisx 


- 


oo w *«0 nine NNt 


csHnS 


3 


I"s5 




NNO M C!H ONO NOO rr, 


JOOO 


s 


553 








spur 


od ui 


•qaoi siBnbs jad 
'ninnoBA b 3AoqB ajnsssaj 


a, 


m n m* iono c^oo jn o 


BSffS 


r 


mir 





HANDY TABLES. 



35 



a, 


co oo 


m P» m ■* lOVO toOO O 


H N CO * WvO KCO Ov 


m p» m^mvo tooo ov 
■«»--*--<j-^-^--^-^-^-^-in 


m m m ■* mvo tv 


^ 


Ov PI m 


■* moo vo in m 


00 00 tV) O OV00 OOMOO 


mmo-0 to o to. ov in in 


Ov t^OO <N O. O N 


VO VO O 00 00 N 00 PoOO M 


in m ooo r^oo o m f>. n 

>- Ovvo -<J- p> o Ov <•» in ■*- 
CO NSSN P~VO vo VO VO 


N m o^oo tovo in -*■ m o 


►- CN ■* u-. !^ 

m o c^oo r^vc vo 


<j 


ooom 


•*-«*■ <N O INOOOO MOO 

00 mvo -*CO root 


vo m ovvo en o c^ in w 


vo ov m toco oo moo oo 
in ci o O " mvo Ov m 


m p. rt-vo M-vO (N 


5 8 2" 


oo' oo' t^vo vd in**nn 


mtMMMMMModd 


Ov Ov Ov Ov OvCO 00 00 00 


00 00 l~- 1^ t^fo t^ 






& 


O 


1-vo (i -tOOmuiM 
m vo'?. O P?°§- rl S"^ SJ- 
00*00000000 


r-. f-,00 00 00 OO OiOOvOi 

oooooooooo 


■* tj- w invo «*■ Ov M to 
ins mvo oo hc tj-vo o 

§* 2 2*^2 *2 « » l^fT jf 


lllllll 












b 


S2? 


N>nno n^hco Tho 
ti mt« invo r^ t^oo o 


vo pi oo moo moo moo m 
oooooooo'oo' 


oo moo N vo -*oo Cvl vo 
OOOOOOOOOO 


O O i- w - H 






s 


^?vO 


cnvo MHt-Ovw'M-O 


(si o m- in m ov tj-oo n vo 
m m inoo o Q oovo pi 
oo •*- ov •*- c in *Ot 


pi ovo •**- in Owo vo CO in 

00 flNBlfl 6 Voo M VO 


m ooo pi m m 


?mm 


M cim*io invo t^ t^oo 


™£^^^£ 


m ■*-•*- in mvo cvo nn 


I--00 00 Ov O Ov 

vc vo vo vo vc vo r>. 












^ 


g£J 


i-o o vo smm o^oo - 
Ov o moo pi r-s o Nmo 


KC»Nh t-^00 •* t-o PI 


OOO CMnoooo Tt--4-o 

cotbh mvo ii oo vo vo 


mlHI'm 


o>o> ov 


Cl H o rwo -^- m m o ov 




m tj- m in m ovoo to 


vb m M- m pi p) m 




o^ o^ o^ O^ O^ o^ O^ 


&q 


Ot»m 
^0 3" in 


giHE&ss's 


vo oo inoo t-^ m m in moo 
vo O -a- to O mint^oo 
^vo tooo o i Pt m -3-vo 


t~-oo Ov o n cvi m ■*• mvo 


VO ^ O •f-vo t-^vo 
vo^^-co" O • w i 


KK£ 


r-.O.rot-.to,to,CoCo.t-^Co, 


in in in invo o vo vo vo vo 
toto.coto.t^c^toto,to.po 


vovovo f^t^t-^r~-r».t^t^ 


t^ Co r>. c-^ p-» t^ t^ 


s 


3 c. :. r 


HtHHtst 


w h pi momovcvi OS 
pi nciO* mooovo ■<*■ 


'gslilSsfSS 


vF^Hsl 


sss 


^^^ssss 


pi O Ovoo vo m + s h o 


ZZ££S££X£S 


~~----^ 


Co 


Cvvo' 


in tvoo o r>» o> m moo « 

CO H in « COCO PI O0VO 


in W to Tl-VO W M O VO 

h Ooo mmovo^wm 


ov moo s vo o ■*• t^ m 


$&§ $5&S 


2 ? 2 s 


o « -*vo co w mioN<> 
OOOOOm>-i«>-im 


m m ->no oo m m -o-vo 


t-^ Ov o P) m mvo t~- o- o 


ittsiSi 




SS-p?^ 


inffOvomm mvo m m 




OMS^lN ^VO CO Kvt 




SSS 


O mwNO CI ■«l-vo 00 


in in m in invo vo vo vo vo 


00 O w N -^ m f^OO Ov 6 
VO NNNNN NN t^OO 


t S'S^ c S c S^ < S 


«, 


00 oo 


h m m, -a- five t^oo ov o 

NWMWWWNNNt-O 




t- o« m ■* mvo t^oo o- 


m n m * mvo tv 



36 



HANDY TABLES. 



sptmod ur 


•rput aJBnbs Jad 

'umrtDBA B 3AOqB sjnssajj 


^ 


<3>svg 




- 


D 
O 
> 


'Ausuap tunaaiXBUi jo 
3jnTBJ3dai3i ;b jsibm pannsip 
jo iq£i3M i^nba jo sturqoA 

OJ U1B3JS JO 3Un[OA JO OUB'JJ 


^ 


SIOln 




(-1 Tf-VO O >^ H 


lis 


5S»S*!8«*8 


H££ 3 £ 


•133J 

oiqno ut ureses jo punod b jq 


<o 


w •* 

N M 


VOMOOiONN^" 0*0 


l£cHJ\g 


M^f. 


\0 , O v O , , , OvCi , OVO v O 


^ Ln m .0 .0 m 


•spnnod 
u; l niB3;s jo jt>oj oiqno b jo iqSiajYV 


fe 


1^ <N 


IIIhIIIIII 


t^ O W 5-nO 00 








W 

b. 
O 

H 
P 
Z 

< 

a 


"UOlTBJodBAS jo snun ui ' z£ 
3AoqB uoijBjodBAS ju jBsq ib;ox 


& 


t.0 ro 


^^§.r*?xs 


fflH+NOfO 


<N M <S 


O^PJPJP.PJNPJPJNP. 


« e, ci « n « 








a 

i 

u 
X! 

H 

W 

c 


*0 C3 

o >"S II 


* 


o 1 ^-^. 


to O On NO 0> N t<l ■* H (O 
O P) -*vO I^OO O O OOO 




w 


^rV^rtrlKKK^jt 


££££££ 








Latent heat of 
evaporation 
a-t pressure i° 


O 


PI 


fcS?8£5e?8Sc? 

>-< rovo On »h ■<*■ C^ mvo 


in0>000 rOlA 
On^ NO S'S O 


H 'o 


co p>-no 10 10 *t rn m n m 
OOOOOOOOOO 


On ONCO 00 CO 00 


lis 

£ rtXi 


ft? 


FSS. 


» -a- mvo 1-^ r»co OOO h 


rvoo 00 on on 


'K.'s.'rl 


C S- C S. < S.^. ( ?. C ?. C ^. < R 5 S 


On On On On On OA 


CfiJ 


- 


INVO 


no WHKHOJN * 




O M 


sn&&&ns& 


llcicsSS 


Required to 

raise the 

temperature 

of the water 

from 32 to T°. 


<o 


§?? 


00 m\o "O n -*no -<■ on t~- 


zmssz 


""8" 


w w "8 n n « « p? £ n 


m -4- ut\o 1^-00 


•saaa33p jiaqusjqBj 'ajnjBjaduiaj, 


- 


^m (5 


^SlI m H 


00 O- r<i\o •* 


N N M 


OOO^OONOO^O 


oo?o 00 


spurn 


)<3 UJ 


•qoui sjBnbs J3d 
'rannoBA B SAoqB aanbsojj 


ftl 


«aa 


m n m Tf \r,\o t>.co o> 
\O\0v©\0\O\On0V0\O t*» 


MNtNfsMs 



HANDY TABLES. 



37 



o. 


M» C> O m N m •*■ inso Noo O 


m n n + inso noo o> 


hnh* invo noo o 
ooooooooow 


HUM* mso N 




\ 


ooso in in 


sooo m moini-oo in •*■ 


eno N crnnNO enNM 


m o so cn osso en h o^co 


1 NSO SO vO so NOO 


*»S 


OsO rflCMflM OMOfj Os 


so en N*- Osso en m 


OOSO Cn M 00 SO ■>»- cn os 


ot I? 5" n cT' ?? i? 


<o 


sts.% 


so inso 00 hvO N03\O*O 
Or*lN MVO O u > OS -3- Os 
CN <N H m ON00 00 N 


so NO en N m O-so -t- cn 
nso O so mmTj-Tj-mm 


Oso cnoo fw N en o so 
mNCNMwHOOOOs 


§§JSHS 


in miom 


iflinininuiinvi-TtTf 


■<J-Tr-<*--<l--*TC-0-Tj-r}--fl- 


TfTf-^-^Tj-rj-^-^-^-rn 


cn cn. m cn m cn cn 


£ 




oo ovS^o>o o o < o 


os n in cn n in cn os 
noo O CN *so N OS m N 


■*sb oo os m cn -*so N os 


so cn n cnoo 5- 
5-sooo" w"^ N 
m m mso so so so 












b 


tail 


NO m moo en moo 
OOOOnO'OOOOO- 


Hllir|s|| 


$$|jjjj$f| 


HHlls 












* 


0(MnO 


m o n m m m moo os 


OsmosM h o r~- o mso 


$gggjs%s&% 




«** N 


n £ l^'S. n 1 ?. n n n 


OsOOOOOwmmm 


cScSoScScS^^o? 


ocToo r ocTocroo h o?cS > 












O 


ssrs 


ONN SCO 0> w ensO OS 


SKS NwrcmeN 1 s- 


SBa£?B.at&2 




2&33 


■^-mrnNWMOOOsOs 


oooooooooooooooocooo 


mCNCNMwOOOs osoo 


----"•• 5 


^ 


WNOin 


»NVO OS w n fomn 

N0O OOCSO\OOl-IM(N 


HssHsfcis 


N N NOO CO osooo o 


§ H s o? i 5 s 


oso> o o 


O>0>00>!>0 


oooooooooo 


OO000O0O-" 


~~~~-~- 


- 


-TNO * 




mo O^J^Y 10 M lA1A ° 


*ui« + o^so oo mso N 
■<j-oo cnoo cn os m o) os 


^?n^^2-?^ 


nso'so m 


■* rj- m N CM* M o' <6-0O 


oo N nso "imi-*mm cn m m 6 6 O* 6>oo oo N 


Os Os OS Os OS C7* Gs 


"""" 


000O0O000O000O000O0O 


.......... 


............... 


c^ 


m ovo n 

N m o o 




sooooos^rnmMom 
c~. n in en ~ oo ThO mo- 


co mN o n*hoo inoi 


Osso CN Osso (N OS 


*0 - H 


<x rn -t- inso n noo os 


n w cm en •*• in mso noo 


OsOsOOOOOOOO 


o o o o o 6 6 


- 






00 SO Tt* w OssO -^- m osso 


mOOSHOsNOcMMM 




O « « 


n ~i -if inso so nco os o 


---------- 


^----^--^^ 


m mso n noo os 




"""""""""" 


°- 


NOO O " 


- »i "> -f mo noo os o 
oocoooooooggeooooo cj> 


osqNqaosq^g^o^^Sqso 


o o — o" o 1 ^ o c o o* 2 

HMHHHMMMHM 


SSsaaas 



38 



HANDY TABLES. 



spnnod ni 


•qaui sjBnbs jsd 

'mnrioBA b SAoqB aartssajj 


\ 


to 00 


w N fO Th tr>vo tvoo ON 


m « ro «♦ irvo £.» 


o 


•Ajisuap mnmixEra jo 
aamBaadmai jb j3jbm psnijsip 
jo jqSi3M jBtiba jo auirqoA 
oj uiBa'is jo amrqoA jo oiib-jj 


^ 


onm n 


IO f» O fOVO O -*00 N O 


HVO - N«00 *0 


H 00 


HssgTHss 


"OOOOOOO 


'J33J 

oxqriD ui ureses jo panod b jq 


<o 


£s$ 


00 O <S "">0O M VO UI 


vo-fl-Morv^-no 1 " 


lorOfO 


r.ro M nr, nmmnn 


nnmmmnmn 


•spunod 
ui 'uresis jo iooj oiqno b jo }u,Sp,M. 


k 


«noo O 

on*o 


\C> 00 Q\ N fl 100 00 O 


NNNMOt^Tf-0 

b m lovo t^ o o 
OnOOOOOOm 








< 
K 
o 

p 

H 
2 

< 


•uoijBjodBAs jo sjiun ui * z£ 

SAOqB UOI?BJOdBA3 JO }B3q IBJOX 


k 


EE& 


CD N -4-vo 00 O M en m 


vo 00 n -t-vo 00 Ov 
OOnOOOOOO 








§ 

a 

H 

.fl 

m 

c 


Total heat of 
evaporation 
above 32 


^ 


lONO 


O O t^ •<*• O mvo 00 0> Q> 
h mm t^oo <N -^-vo 00 


OOC ?N C?K> 5- ? 


£££ 


SSSSS££££& 


•S^SSS^ 










^) 


OMO 


VO H NtICO tOiiflMVO 


mi-.<sinot-p-c 

vo ■*• o a- t-.vc \c 

04 00 TO m M NCI 


»*• 


tnroWNMMOOOOv 


>O^C««lOtvCVC 


« g 


^ 


1S5 


SSSkIH^sS 


00C000 OOvOOO 


00 00 00 


00000000000000000000 


00 00 00 00 00 00 00 00 


S O H 


•v, 


Is I 5 


(i oohio moo -«j- ■* •<!■ 


00 *tmo;>n^o 


£££ 


t-»r>t^t^t^i^c^t-.r^r^ 


t^ t*.vo >£> \f m-r *■ 


Required to 

raise the 
temperature 
of the water 
from 32* to T°. 


to 


OWM 


(N O O N JO t^OO M 0) 


ES&3&&M 


M w 


n mm^ioifnovo t^oo 






mmmMtomcoMtiro 




•sssaSsp jpquajqBj 'aaivrejsduiajL 




F?? 


MOiOOO^HOiO h 


vo t^t^roin^-o^M 


Sis 


sHasSSSsS 


ssHssss 


•qDui ajBnbs aad 
spunod ui 'mnnoBA s aAoqB aanssa-ij 


ft. 


00 Ov 


ggyjt^^oso 


m n m ■* invo t^oo 









HANDY TABLES. 



39 



u 


O 


m N m Tt- u">NO tvoO o o 


O O 


0000000000 


m-ISm 


Pn8m8m858mg 
mvo no p- p-oo oo o o o 




! 




^ 


ccT^ 


o ^*« or-mm- O 


OmNOoocO 


int-m.n0oo omooo 


p-oo WOO 


NO mNO -3-NO H ovo *c 


o»o>oio> OCO 00 00 00 CO 


RS'KSS- 


■*co rooo •♦Cmon o m 


4 cm 


momiN ot^^mw c 










<. 


OOnO 


o ooo ooto OQ H « 

w^oooooooon 


£H%1? 


invo r- o <N m O rooo m 


m"S o o 


oo m Ono p- m pi mo 
m o moo m ono m o oo 
oo p- p-no no m m m m ■«■ 


mm 


mmmmmmmmP. d 


P) P) PJ P) Pi 


NNmhhmMHMM 






^ 


•*-NO 


OO n •*■>© (J>h ClinN 


VO M M O 


in P- o m h no O ■*• ono 

St-inNO r-^oo $001? 
Tfi-«uiinin invo no no 


§|M 


no h moo h m ■* -* m 

coooOOOOOOOO 

NO NO NO NO NNN P-CO CO 














HMHMMHHHN« 


b 


III 


invo co m m Tt-vo co 
mmmmmmmmmm 


VO HlO O -* 

-tfNO l-» OO 


P>. M <* mNO t-.t-.p-Ps. 


NO 3 *N 


mNO on m tv o m m 
















* 


co £ 


t^co O N m in r-oo in 






-* ■* 


Ooooo O -+0 mo no 
no -i- m p- o m mNO p-no 


£2 


OOOOOOOOwm 


0\ <?• 0\ o o\ 


o " rf> >* irno f-oo o 
0000000000 


5 N S 8 


p- m moo cn -*no co 

8 NNP?NofpfpTpTpT 














•^ 








* O M o 


NONO OOONTtN O'O 

M- cn no m h -^-00 no ■*• m 


is^mmm 


N*0 N^f 


oooooooooooooocococo 


o ooooo 


mNO o m p- m mo mo 

t-.MNtsp.NtsCNtstx 


<q 


mco 1 mvo on -3- r- mm 
OO | ►■••-'MMCiNNmmm 


NO 00 IN TT 


Ooono invo oo m h in 


000>tH 


N 00 O -*00 H 00 

H H tN M H O O00 NO 


«« I-cS^cScScScS^cScS 


£&£££ 


•s^""""-"" 


COCOCO00 


00 00 00 00 00 CO OO MWOO 


N 




vo m M o M 


no •**• {ni oo moo m o oo 

H mO CO OMONN 




■*00 M Tj-TTTl-M 000 




£t^S. *§."£. 


KKKptrtrtptKKK 


n w o o i co co t-.NO no no tj- •* m m 

C— C— P-NO 1 NONONONONONONONONONO 


to 


*8 


m w m in moo O O -*no 
!oh n«m m Sw 0^ 


IN 00 ONO 


Tfio mo m t- o m r- m 
O m m o c^ m o mvo o 


1 

NONOOOtM Tj-lN00 0NOCONOm0 


a£ 


KKKMKMSS 


4- o M- on m 


mvo IO NN p-oo oo oo o 


h m tj- 1 mNO f-co o o o m cni in 


- 


|1 


OMCONNOvDOM^rO 
CO fOfsPHO O mNO On Pt 
m O -* O in m NO i-ivo P) 








moo no m o no co no mco 


S33S3S&&SS 


no no t-~ r-co 


0? 00 OOOOOwww 


■>!- t ^ Tf 


p-no m ■<*- N ono m nc 


ft, 


oo 


m n n^ mvo t^co o 


O o 
NO t-CO O 


o o o o OO o 
-. n m -*• mvo r-oo o 


£%%l 


m8m8m8 mgmR 
mvo no t^ c>oo oa o o o 




' 







40 



HANDY TABLES. 



The column headed " U" in the table of the properties of 
saturated steam is useful for reducing the performance of differ- 
ent boilers to a common standard — this standard being that 
most generally accepted by engineers : the equivalent evapora- 
tion at atmospheric pressure and the temperature of boiling 
water, or, as it is frequently called, the evaporation from and it 
•212°. In the table it is assumed that the temperature of the 
feed-water is 32 , and an auxiliary table is added, giving 
corrections for any temperature of feed from 32 to 21 2°. 



CORRECTION FOR TOTAL HEAT IN UNITS OF EVAPORATION. 



Tempera- 


c 


Tempera- 


a 



Tempera- 


c - 


Tempera- 


a 


Tempera- 


a 


ture of 


.2 


ture of 


ture of 


.2 


ture of 


.2 


ture of 


2 


feed, Fah- 


1 


feed, Fah- 


« 


feed, Fah- 


1 


feed, Fah- 


t> 


feed, Fah- 


y 


renheit 


renheit 


£ 


renheit 


renheit 


V. 


renheit 


ji 


degrees. 



u 


degrees. 



u 


degrees. 





degrees. 


3 


degrees. 




U 


33 


0010 


69 


0383 


105 


.0756 


141 


.1129 


177 


• 1504 


34 


0021 


70 


0393 


106 


.0766 


142 


.1140 


178 


• 1514 


35 


0031 


71 


0404 


107 


.0777 


i43 


.1150 


179 


•1525 


36 


0041 


72 


0414 


108 


.0787 


144 


.n6o 


180 


•1535 


37 


0052 


73 


0424 


109 


.0797 


145 


.1171 


181 


•I54S 
•i55 6 


38 


0062 


74 


0435 


no 


.0808 


146 


.n8i 


182 


39 


0073 


75 


0445 


in 


.0818 


i47 


.1192 


i83 


.1566 


40 


0083 


76 


0450 


112 


.0829 


148 


.1202 


184 


•1577 


41 


0093 


77 


0466 


"3 


.0839 


149 


.1213 


185 


.1587 


42 


0104 


78 


0476 


114 


.0849 


150 


.1223 


186 


.1598 


43 


0114 


79 


0487 


115 


.0860 


151 


•1233 


187 


.1608 


44 


0124 


80 


0497 


116 


.0870 


152 


.1244 


188 


.1618 


45 


0135 


81 


0507 


117 


.0880 


153 


.1254 


189 


.1629 


46 


0145 


82 


0518 


118 


.0891 


i54 


.1264 


190 


.1639 


47 


0155 


83 


0528 


119 


.0901 


155 


•1275 


191 


.1650 


48 


0166 


84 


0538 


120 


.0911 


156 


.1285 


192 


.1660 


49 


0176 


85 


0549 


121 


.0922 


i57 


.1296 


193 


.1670 


50 


0186 


86 


0559 


122 


.0932 


158 


.1306 


194 


.1681 


5i 


0197 


87 


0569 


123 


•0943 


i59 


.1316 


195 


.1691 


52 


0207 


88 


0580 


124 


•0953 


160 


•1327 


196 


.1702 


53 


0217 


89 


0590 


125 


.0963 


161 


•1337 


197 


.1712 


54 


0228 


90 


0601 


126 


.0974 


162 


.1348 


198 


•1723 


55 


0238 


91 


0611 


127 


.0984 


163 


• 1358 


199 


•1733 


56 


0248 


92 


0621 


128 


.0994 


164 


.1368 


200 


•1743 


57 


0259 


93 


0632 


129 


.1005 


165 


•1379 


201 


•1754 


58 


0269 


94 


0642 


130 


.1015 


166 


.1389 


202 


.1764 


59 


0279 


95 


0652 


J 3i 


.1025 


167 


.1400 


203 


•1775 


60 




96 


0663 


132 


.1036 


168 


.1410 


204 


•1785 


61 


0300 


97 


0673 


133 


.1046 


169 


.1420 


205 


.1796 


h 


0311 


98 


0683 


>34 


•1057 


170 


•I43 1 


206 


.1806 


63 


0321 


99 


0694 


135 


.1067 


171 


.1441 


207 


.1817 


64 


°33i 


100 


0704 


136 


.1077 


172 


•1452 


208 


.1827 


65 


0342 


101 


0714 


137 


.1088 


173 


.1462 


209 


• 1837 


66 


0352 


102 


0725 


138 


.1098 


*74 


•1473 


210 


.1848 


67 


0362 


103 


0735 


J 39 


.1109 


175 


.1483 


211 


.1858 


68 


0372 


104 


0746 


140 


.1119 


176 


.1493 


212 


.1869 



HANDY TABLES. 



41 



Total amount 
of energy 
contained in 
one pound of 
steam at 
correspond- 
ing tempera- 
tures and 
pressures. 


00 in •«*- m -<J- O NVOOO moo * N N 00 *00 vO 1000 N SN 


00 VO inCX> O M ^-00 cnoco O in CM CM m cm mm OOO **-CO IN ^ 

m O m t^. in r^vo cm roiomni-H on o in cm O Ooo OOO 
o o ooo towoo moo civo ■**■ o O mvo cm tt-O o m m in 


Correspond- 
ing amountof 
energy con- 
tained in the 
latent heat of 
evaporation. 


OOO O O O M 00 OVO in OVO N M N NVO flON^" OVO O M 


cvi vo m ^-moo rnco ■<*• moo m ->i- m •* m in in in cm 
co m ov h ih vo ->}-co oo in o m 000 ■+ r^ - m tj- m cm o m 
vo Onco o ■*• m "Too N mOM -*-NO> n -<t-vo co N m m 

H N COt mvO « NN OOO OOOOOOOOOOOOmmmm 


Amount of 
energy con- 
tained in one- 
pound of 
water which 
may be liber- 
ated by ex- 
plosion or 
expansion to 
212° Fahr. 


ooin-^oo-'i-ocMoo mco in o h cm n mo mM owo vo 


Ttmi- cvi -*-m «cv-t a^'O m o m m ooo oco oo oo vo in cm ov 

h tj-co in vo w in ov -^-oo moo cm vo o -*oo nvo o -<»-co cvi vo o 

MMiNCMNmm'^-'<<-in mvo vo vo o ooo oo co cv o ov 


Cor- 
responding 
absolute 
tempera- 
ture in 
degrees 
Centigrade. 


co m« hvo mw ifl ovo ■* o ■<»- o m m m ooovo m o vo m 


in ov in o -*-oo cm moo m tj-vo o « -<a-vo cooncoionoon 
coco OO O m h m cvi cm cvi cm mmmm^--^-Tj---!-^.^.i^i- > 


Cor- 
responding 
absolute 
tempera- 
ture in 
degrees 
Fahrenheit. 


OcMtmm-'j-oooooinocMCMOomoOHiCMCMHON 


ooo«Nwmvj-^in mvo vo o oco cooooooOOOmh 
vo oooooooooooooooooo ooo oo oo oo oo 


Temperature 

in degrees 
Centigrade of 
the steam 
and of the 
water from 
which it is 
evaporated. 


ooincMMMincMinovo^o^oOMMMOoovomovow 


co in m vo -*oo m *n0 <n inNO cvi T>-vo oo o •- m mvo oo 




Temperature 
in degrees 

Fahrenheit of 
the steam 
and of the 
water from 
which it is 
evaporated. 


OO in m m cm oo oo mN N moo O co in >-i moo o O O o 


o Os*OvO cm o cm NmvO O m o m -u- o tnon 
cm Tf m mvo ooo oo OOO n m cvi cm cm mmmTj--o--<j-Tj-m 


Number of 
British ther- 
mal units 
required for 
the evapora- 
tion of one 
pound of 
water, known 
as latent heat 
A of evapora- 
tion, H. 


moo mvo vo cm m m o ■*(- cm oo o tj- o m m in in « mM 
in in in cm cm -<j- m o o cm ovo Ovo moo tj- cm in cm mM in cm vo 

-*oo o m "<r mvo cm cm -^-oo in m cm m in o moo •*• h o ovo m 
-*■ moo cm vo mvo woo 4-d o 4- m oo in cm' o' o in m oo vo° 4- 
gig-mmcMCNMMOOOOO ooo oo oo oo o o o ovo vo vo 


o.Sgj 

5 85 

3 a 
£ # K 


VO 3-OO CMVO O -tfOO CMVO O *-C0 NVO tOO CM VO -«J-0O CM 

moo moo rt- o o -vj-i^m Ti-c--M n-oo m rf-oo m moo i- m 
m m cm cm cm mmroTf^-^-inm invd vo'vci t>t> ooo co co o ov 


Same pres- 
sure as indi- 
cated by 
steam-gauge, 
allowing 14.7 
pounds for 
atmospheric 
pressure. 


mmmmmmmmmmmmmmmmmrommmmmmro 


momomomoinoinoinoinoinoinoinoinoin 
HMtidrocottm mvo vo o oco cooooommcmcm 


Pressure 

above a 

vacuum in 

pounds per 

square inch. 


omoinom omoinoinoinOingino«ooino»no 
ct cm m co •*■*• in mvo vo o ooo ooooOOMMCMCMmm^ 





42 



HANDY TABLES. 



£ 

£ 



55 






Total amount 

of energy 
contained in 
one pound of 
steam at 
correspond- 
ing tempera- 
tures and 
pressures. 


1 

tn ^ moo n oo tm + a + SO Tt-t^m-+N mintonH m mvo vo N . 


: 


NOOWNOOJroONCNiTj-mM mNO hoo m *oo Ot^O O t^-t-xP) -«*-vO 
t~* m w ti-no (-. o O n miotsH roint^LOt-^oommM t-^ n t-^ o • 
N N mmmmmm-<j-Tt--<i-T*-M-mmminocsNoco m w n romr<i 








Correspond- 
ing amount of 
energy con- 
tained in the 
latent heat of 
evaporation. 


m n -<*-no 00 m r^ h -<j-co m "* n con mo f~0 mo t^oo mNO o oo • 




rfiNanNui'+^ncoco t^mm^- -*no n n m m h it>no m n co no • 
O t~^ m ci 000 o-s-i-^Ono O m o m o -> N mo O mmoot^ • 
■*■ mNO n -«-no fv O w moo N m m cn mNO m m o m • 
r^oo h cni m mNO t^-oo o mNO so»o mo-*mo mNO o m m m • 
>-iMMiNCN(Ni<N(N(N)iNMmmmmm tj-no t^ o ooo oo c^no no m ■«- • 








Amount of 
energy con- 
tained in one 

pound of 
water which 
may be liber- 
ated by ex- 
plosion or 
expansion to 
2i2° Fahr. 


moo +con'+o m h moo h m n -t- m m n mNO n •* N "O o • 




mno m + nHoo m m tvTj-mo mo ri-mM cvno oo ^-m^Noo t-» • 
no moo ■*- n •* n oo no -*m mNO oo om uinnb o\ o^ h -* m ooo • 
m m O •'too h moo m moo moo ■* m Nmo^o c-« w. tj--^--^ ooo o r-- . 
OOMHHNNwmmm-^--* mNO no t-^ o oo m>o *o -t- t-» o mm • 




Cor- 
responding 
absolute 
tempera- 
ture in 
degrees 
Centigrade. 


t>.MNoo^^omm^OM^t>.<N.mooooo^oMM^MmooH 




m m m m mNo no no no no no no msn ms mvo h ■* t-^ o n ->*-no oo o m 
Tr'<r^-Tf-^--<i-TfTj--^--^--^-^-Tt-^--<j->*--H r m mNO nono t^t^t^r^t^«^-<»- 




Cor- 
responding 
absolute 
tempera- 
ture in 
degrees 
Fahrenheit. 


skiOitKKOso n *«-no i^oo o ■* h <Noo o omoNO m ■* in Tt-NO no 




no o h -*no o m tj-no oo nno m in o n oo oo Ti-omotvN mNO n -*f 
oooooooooooooooooooooooooooooooooooo o m m o in mrnrn-^- -*»o 








Temperature 

in degrees 

Centigrade of 

the steam 

and of the 

water from 
which it is 

evaporated. 


nhvo o -*t^o mmt^o m ■tNo mo o oo t>. o h t>. m moo m 




o m n Tt- mNo oo o o m m -*no ooMmmDNoommMNMOt^MTf 
t-^oo oooooooooooo o^ O^O^ o o\ o^ ^00 m r-. o mmf^oo N oo 




Temperature 
in degrees 
Fahrenheit of 
the steam 
and of the 
water from 
which it is 
evaporated. 


m m t^ n t^ m moo on-* mNO oc n oonooo t^m tvoo o cn) m cni t»- ^ 




moo mi moo n in i-- o m loo-^-t^M i^.no mco mt^mM -<t- in m m 
vo mNO no no no t~~ t~^ c-. t~- t-~.oo oooo ooomd ^t- m- o no o -a-co m -^ t^NO 
mmmmmmmmmmmmmmmm'^--"*- in*0 t-» t^oo oo oo on on o m 




Number of 
British ther- 
mal units 
required for 
the evapora- 
tion of one 
pound of 
water, known 
as latent heat 
of evapora- 
tion, H. 


o mNO o ■* n o oo no -*oo NOt^-+HOOoio ooo -*ommmi>-M o 
t^ m t^ -<f m -*■ t-» ooo -f mriNONO o- mom<i-mt^m r--oo m •<*■ o -t- 
\o n n t^NO ono no o co o m ooo no -<i-no mmo o t^m-*omm-<j-o 
mNO t^oo o n moo n m o <*■ m m ono moo -*■ ooo no t-^oo o -<i-no n m 




oooooooooooooooooooocooooooooo oo oo i-» t^NO mmmTrTf-fl-mmm 




c £ 

g V <D 

oga 


NO -"t-00 N NO O -^-00 NNOOCONOtJ-CMOmN moo mNO O H ■* t^ N 
00 N moo NmONmONNONNONOmOOOOOHMMMNNNt^ 




oOOOMMMNNNmm-*--* mvo t>. -too no +« Ooono *« o n 

MMHHMHM.HMMMMWMHH mNO mO ts f CO T(-MCO 

n w m ^ ■*■ iono co 




Same pres- 
sure as indi- 
cated by 
steam-gauge, 
allowing 14.7 
pounds for 
atmospheric 
pressure. 


cn rr,rnrr i cnmrr,rn^rr,rnrr ) ^ m cr,rr ) rr,rr i rr ) ^ mmm( r,rr,^^mrr l 




mo mp mo «iO>oo mmmmmmmmmmmmmmmm m^m 




m n m t mNO t^oo o o 




Pressure 

above a 

vacuum in 

pounds per 

square inch. 


momOmomomOmOOOOOOOOOOQOOOQOOQ 
tj- m iono no r~ t^oo oooooMd mTrmoO00O0QQ22Q2 









HANDY TABLES, 



43 



xg 










































*l 












5 








r 








*l 


o 5* 












8 








<> 






















6 








I 








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1 












1 


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i 


^ 1- 












*£ 


m 






2 


7T 




































\o 1 


M 






r> 






b 


1 






Q 


. 






H 


| 


£ 


s 


f 


v> 


N 


o 
6 


ff 




Esi 


$ 


^ 




< 


8 




c" 


8. 


d 


Cd 


| 


+ 


o 


1 


<J *" 


6 
1 


d 


^1^ 


s 

o 


II 
ft, 


II 


X 

ft, 
II 


X 

ft, 

ii 


X 
ft, 

II 


1 

ft, 

II 


1 
II 


c 

1 


7 




+ 


II 


X 
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II 


1 


+ 


II 




tx 


be 


^j 


fc, 


^ 


U 


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m 


m 




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s 










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V 






& 




3^> 


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JB 




a 
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a 

Cd 


■S| 


c 


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o 


a" 




3 

cr 


o 

o 

V 

nj 

cr 


3 


3 
& 

a >, 


V 

o 


ft 

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3 
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ft 


U 


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C 
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"o 

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8.2 


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3 — 
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c 

o 

V 

C 

3 

a 


Ed 

3 

O 

o 

a. 


o o 

3 2 
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art 
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H 
Z 

< 


a 

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c 


a. 

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3 
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ft, 


a 

o 
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a 




a 

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u 

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a 
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c 
u 


w 

4J 
3 


u 

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<u Si 

V 

c 
cd 

u 
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la 


o 

2 
o 
ft 

V 

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<u 

xi 
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=1 

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re '3 
u 3 

> 










-5 




4) 




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13 


■a 


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cd 


H 


"o 










fa 




> 
O 

< 






O 4 


'3 
cr 


'3 
cr 


B 




<d 




























H 


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nnoT*/^ 


H 3. 


ioqv 




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an jhc 


aj3tn qsuue 






















ni i 


nB3;s 


JO pUliOd J3J 














u 




















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a 

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H 








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44 



HANDY TABLES, 




o . 


°'55 




^'o 


.c.t: 






£a 




3 3 


jg-u 


rt6 


«a 

3 3 


£.'8 


U.8 

£a 


as 

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* J2 


H«- 


C3 


3 o 
>3 


£2 rt 

0a 


O rt 


■ofi 



.2* 

O 3 

> cr 



HANDY TABLES. 



45 



x% 



"i Ox *Oi* &r^ 08 f 



<ooo ooooo o 



Ox vo m to O to o to Q to Ox T)-ON'<* 



o 


? 




« 


l 


fa 


? 


<§ o ox Sco 


<£ £?Uo\3 


^"^° ",£ 


o >o o in ox 


o ss; 


f 





ooooo 


S3 

















2 


! 


| 


l 


[J 





o o ox oxco 


r^ttvovo'to 


££2% CO 


Ci N H H 


S^Sx 


1 


o 
o 


to to to 

ooooo 

















o 


, 








55 




C> OM» 00 


vo hvo h in 




^S H 2 H 


o o'o 


':■ 





ooooo 1 





8 


^ 


N 


S 


X 


r '?, 


c 


o> OXOO 00 t-» 


8.vo\S £to 


VO H VO H lO 


O ino wo 


Ti- ox-i- 







ooooo 


- 








M . . . . 2 


°. 



t MioO^O to O t 



N N C 



--00 o^ oxco a 



■10 OOOOO oooc 



VO 


M 


















CO 


-! 


«s!<nr 


Soooo^S. 


vo^vg SSVS- 


H VO H VO 


moino-*- 
h h 2 2 £T 


ooooo 


o o 1 o 1 













to 


" 


Is 


~ 


vo h WO m 

>h H O Ox 


to to ox 


^S*?? 


'S.S'SS'S- 


2 oo Ox OX 


VO M VO H to 

'o'o o 0^0 


to to o 

ooooo 















* 


M 


vS °. 


5 


Ug^S 


CO w " KvST 


VO IO IO TT 5- 


^cVSSl? 


§ 2 2 Iff 


-4- Ox tj- ox ro 



o o o o b 


S" 














" 


o m 


? 


HVO to O 

h O O Ox Ox 


mc§ K£a3" 


StoSSS 


S8S"3 2 


O Ox Oxoo 


H VO H VO 

°o cTo"^^ 


to o to to 

ooooo 


o' 












ro | h 


io o 


5 


Ox OXOO 


«S"S.EgvS 


££$£?o 


H vo m VO O 


too to tj- 

Ox OXOO 


OXTl- Ox ^t-00 

ooooo 1 


o'o" o" o'o 1 















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M 


















t-» 


N 


Ox OXOO 


oo r-~ r>.xo vo 


VO M VO M to 


o to o to a. 


O C> OxOO O? 


o" cTi)^ c? 


o'o" o" o'o 1 


o 












N 


M 


to ro 


Ox 
O 




OO K°vo^S 


sssss 


CN f)"2 m o" 


SSxSx^cS 


vo mvo - to 

ooooo 


to O to O 

ooooo 1 


o 












<V1 H 





O 




KS-voVow 


Btt^g, 


V?8J?23" 


OX -<J- Ox t)-00 

8" o vc o t o o" 


o^o^o o 1 0* 


o"o" o 1 o'o 


6 










N 


H 


m ts 


a" 


hvo o m 

Ox OXOO 00 


inomoxt 

C-. f^vo VO to 


Ox -4- OX TfcO 


(N M M O 


o N o^ c o < o o" 


hvo mvo O 

ooooo 1 


to to to 

ooooo 















3 £ V 



U o h 4t^o ci 



< rovo Ox N i^tsO rovo 



O to O to O to jo O ^ ° £ 9 JO " 1 2J n Sx ^ 2. "^ ° to otootoo 



I vovo 



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4 6 



HANDY TABLES, 



XIV. 

COMPOSITION OF VARIOUS FUELS OF THE UNITED STATES. 



c. 


78.6 


8s- 8 


92 
83.1 


84.2 
,80. s 


75-8 


59-4 


70.0 


52.0 
62.6 


58.2 


59-5 
48.4 


71.0 


4*-5 


54-o 


55-o 


74.0 


50.1 



Mois- 
ture. 



Spec. 
Grav. 



Pennsylvania Anthracite 

Rhode Island " 

Massachusetts " 

North Carolina " 

Welsh " 

Maryland Semi-bituminous 

Pennsylvania " 

Indiana " 

Illinois Bituminous 

" (Block) Bituminous 

Illinois and Indiana (Cannel) Bituminous 

Kentucky (Cannel) Bituminous 

Tennessee Bituminous 

Alabama " 

Virginia " 

California and Oregon Lignite — 



6.0 

7.8 



1. 85 
1.78 



16.7 



KIND OF COAL. 



Pennsylvania Anthracite 



Cannel 

Connelsville 

Semi-bituminous. 

Stone's Gas . ... .. 

Youghiogheny. . . 

Brown 

Kentucky Caking 

" Cannel , 



" Lignite 

Illinois Bureau County . 

" Mercer County.. 

" Montauk 

Indiana Block 

" Caking 

" Cannel 

Maryland Cumberland.... 

Arkansas Lignite 

Colorado " 



Texas " 

Washington " 

Pennsylvania Petroleum. 



Theoretical Value. 



Per Cent, of 
Ash. 


In Heat 
Units. 


In Pounds 

of Water 

Evaporated. 


3-49 


14,199 


14.70 


6 


x 3 


13,535 


14.01 


2 


90 


14,221 


14.72 


15 


02 


13. H3 


13-60 


6 


50 


13,368 


1384 


10 


77 


^3,155 


13.62 


5 


00 


14,021 


i4-5i 


5 


60 


14,265 


14.76 


9 


50 


12,324 


12.75 


2 


75 


i4,39i 


14.89 


2 


00 


15,198 


16.76 


14 


80 


13,360 


13.84 


7 


00 


9,3 2 6 


9-65 


5 


20 


i3, 02 5 


«3.48 


5 


60 


i3> 12 3 


13-58 


5 


50 


12,659 


13.10 


2 


5o 


13,588 


14.38 


5 


66 


14,146 


14.64 


6 


00 


13,097 


I3-56 


13 


98 


12,226 


12.65 


5 


00 


9,2iS 


9-54 


9 


25 


13,562 


14.04 


4 


5° 


13,866 


14-35 


4 


50 


12,962 


I3-4I 


3 


40 


",5Si 


11.96 






20,746 


21.47 



HANDY TABLES. 



47 



ANALYSES OF ASH. 



v. Color (-•!• Alum- Oxide T . „ Mae- T ^ oc . Acids 
Grav. of Ash. Slhca - ina. Iron. L,me - nesil Loss ' S.&P. 



Specific 



Pennsylvania Anthracite. 
" Bituminous. 

Welsh Anthracite 

Scotch Bituminous 

Lignite 



Buff. 
Gray. 



45-6 
76.0 



37-6 
19-3 



trace 
1.1 
2.6 



4 8 



HANDY TABLES, 



XV. 

HORSE-POWER PER POUND MEAN PRESSURE. 



"° v 












Speed 


OF 


Piston in Feet 


PER 


Minute. 










Q 


100 


240 


300 


350 


400 


450 


500 


550 


600 


650 


750 


4 


.038 


.091 


.114 


• 133 


.152 


.171 


.19 


.209 


.228 


.247 


.285 


4* 


.048 




115 




144 




168 




192 




216 




24 




204 


.288 




312 


.360 


5 


.06 




144 




18 




21 




24 




27 




SO 




33 


•36 




39 


• 450 


5* 


.072 




i73 




216 




252 




288 




324 




36 




396 


• 432 




468 


.540 


6 


.086 




205 




256 




299 




342 




38 J 




428 




47i 


•513 




555 


.641 


6* 


.102 




245 




307 




39i 




409 




464 




512 




563 


.614 




60S 


.800 


7 


.116 




279 




343 




408 




466 




524 




fj 




641 


.699 




756 


.874 


7b 


• 134 




321 




401 




468 




534 




602 




669 




735 


.802 




Goo 


1.002 


8 


• 152 




365 




456 




532 




608 




6S5 




761 




837 


.912 




089 


I.X2X 


8* 


.172 




413 




516 




602 




688 




774 




86 




946 


1.032 


1 


n3 


I.290 


9 


.192 




462 




577 




674 




770 




866 




963 


1 


059 


i-i54 


1 


251 


I.444 


9* 


.215 




515 




644 




75i 




859 




966 


1 


074 


1 


181 


1.288 


1 


395 


I. 6lO 


IO 


.238 




57i 




7i4 




833 




952 


1 


071 


1 


190 


1 


309 


1.428 


1 


547 


1.785 


K* 


.262 




63 




787 




919 


1 


050 


1 


181 


1 


3*3 


1 


444 


1-575 


1 


706 


I.969 


II 


.288 




691 




864 


1 


008 


1 


152 


1 


296 


1 


44 


1 


584 


1.728 


1 


872 


2.l6o 


Hi 


•3H 




754 




943 


1 


1 


1 


257 


1 


414 


1 


572 


1 


729 


1.886 


2 


°43 2.357 


12 


•34 2 




820 


1 


025 


1 


195 


1 


366 


1 


540 


1 


708 


1 


880 


2.050 


2 


222 1 2.564 


13 


.402 




964 


1 


206 


1 


407 


1 


608 


1 


809 


2 


01 


2 


211 


2.412 


2 


613 


3-OI5 


14 


.466 


1 


119 


1 


398 


1 


631 


1 


864 


2 


097 


2 


33i 


2 


564 


2-797 


3 


029 


3-495 


15 


•535 


1 


285 


1 


606 


1 


873 


2 


J 3i 


2 


409 


2 


677 


2 


945 


3.212 


3 


479 


4.004 


16 


.609 


1 


4 6i 


1 


827 


2 


131 


2 


436 


2 


74i 


3 


045 


3 


349 


3-654 


3 


958 


4-567 


17 


.685 


1 


643 


2 


054 


2 


396 


2 


739 


3 


081 


3 


424 


3 


766 


4.108 


4 


450 


5-135 


18 


.771 


1 


849 


2 


312 


2 


697 


3 


083 


3 


468 


3 


854 


4 


239 


4.624 


5 


009 


5.780 


19 


.859 


2 


061 


2 


577 


3 


006 


3 


436 


3 


865 


4 


295 


4 


724 


5- ^4 


5 


583 


6.442 


20 


.952 


2 


292 


2 


855 


3 


33i 


3 


807 


4 


285 


4 


759 


5 


234 


5-73i 


6 


186 j 7.138 


21 


1.049 


2 


5i8 


3 


148 


3 


672 


4 


197 


4 


722 


5 


247 


5 


77i 


6.296 


6 


820 j 7.869 


22 


1. 152 


2 


764 


3 


455 


4 


031 


4 


607 


5 


183 


5 


759 


6 


334 


6. 911 


7 


486 I 8.638 


23 


i- 2 59 


3 


021 


3 


776 


4 


4o5 


5 


035 


5 


664 


6 


294 


6 


923 


7-552 


8 


181 ! 9 .4 4 


24 


1.370 


3 


209 


4 


in 


4 


797 


5 


482 


6 


167 


6 


853 


7 


538 


8.223 


8 


908 10.279 


25 


1.487 


3 


569 


4 


461 


5 


105 


5 


948 


6 


692 


7 


436 


8 


I 7 ? 


8 923 


9 


566 n.053 


26 


1.609 


3 


86 1 


4 


S26 


5 


630 


6 


435 


7 


239 


8 


044 


8 


848 


9-652 


10 


456 12.065 


27 


1-733 


4 


159 


5 


199 


6 


066 


6 


932 


7 


799 


8 


666 


9 


532 


10399 


11 


265 12.998 


28 


1.865 


4 


477 


5 


596 


6 


529 


7 


462 


3 


395 


9 


328 


10 


261 


n. 193 


12 


125 13.991 


29 


2.002 


4 


805 


6 


006 


7 


007 


8 


008 


9 


009 


10 


01 


11 


on 


12.012 


J 3 


013 15.015 


30 


2.142 


5 


141 


6 


426 


7 


497 


8 


568 


9 


639 


10 


71 


11 


781 


12.852 


13 


923 16.065 


3 1 


2.288 


5 


4 36 


6 


865 


8 


001 


9 


144 


10 


287 


11 


43 


12 


573 


13.716 


14 


860 17.145 


32 


2.436 


5 


846 


7 


308 


8 


526 


9 


744 


10 


062 


12 


18 


13 


39S 


14.616 


15 


8^4 18.270 


33 


2 590 


6 


216 


7 


770 


9 


065 


10 


360 


11 


655 


12 


959 


14 


245 


15-54 


16 


835 19.425 


34 


2.746 


6 


59 


3 


238 


9 


611 


10 


984 


12 


357 


13 


73 


15 


103 


16.476 


17 


849 20.595 


35 


2.914 


6 


993 


8 


742 


10 


199 


11 


656 


13 


"3 


14 


57 


16 


027 


17.484 


18 


941 21.855 


36 


3.084 


7 


401 


9 


252 


10 


794 


12 


336 


13 


8 7 3 


15 


42 


16 


962 


18.504 


20 


046 23.130 


37 


3-253 


7 


819 


9 


774 


11 


403 


*3 


032 


14 


861 


16 


29 


17 


919 


19.548 


21 


177 ;2 4 433 


38 


3-436 


8 


24" 


10 


308 


12 


026 


13 


744 


IS 


462 


17 


18 


18 


808 


20.616 


22 


334 


25 770 


39 


3.620 


8 


648 


10 


86 


12 


67 


14 


48 


16 


29 


18 


1 


19 


9i 


21.62 


23 


53 


27.150 


40 


3.808 


9 


*39 


11 


424 


13 


328 


1 5 


232 


17 


136 


19 


04 


20 


944 


22.848 


24 


752 


28.560 


4 1 


4.002 


9 


604 


12 


006 


14 


007 


t6 


008 


18 


009 


20 


00 


22 


on 


24.012 


26 


013 


30.015 


42 


4.198 




065 


12 


594 


14 


693 


16 


792 


18 


901 


20 


99 


23 


089 


25.188 


27 


287 


31-485 


43 


4.40 


10 


56 


T 3 


20 


15 


4 


*7 


6 


J 9 


8 


22 


00 


24 


2 


26.4 


28 


6 


33- 00 


44 


4.606 


11 


046 


T 3 


818 


16 


121 


18 


424 


20 


727 


=3 


03 


25 


333 


27.636 


29 


939 


34-545 


45 


4.818 


1 1 


56l 


T 4 


454 


16 


863 


*9 


272 


21 


681 


24 


09 


26 


3Q9 


28.908 


3 1 


317 


36135 


46 


5-043 


12 


08-. 


l 5 


128 


17 


626 


20 


144 


22 


662 


25 


18 


27 


U 8 


30.216 


32 


754 


37.770 


47 


5.256 


12 


614 


'5 


708 


18 


396 


21 


024 


23 


652 


26 


2S 


28 


908 


^•536 


34 


164 


39.420 


48 


5.482 


12 


846 


16 


446 


19 


187 


21 


928 


24 


669 


27 


41 


30 


151 


33 152 


35 


633 


41.115 


49 


5-714 


12 


9'3 


17 


142 


19 


999 


22 


856 


25 


713 


28 


57 


3i 


427 


34.284 


37 


141 


42.855 


50 


5 -95o 


14 


28 


17 


s 5 


20 


825 


23 


S 


26 


775 


29 


75 


32 


725 


35-7 o 


38 


^75 


44 .62-5 


5 1 


6.180 


'4 


832 


18 


54, 


21 


665 


24 


76 


27 


355 


3° 


95 


34 


045 


37.08 


40 


20s 


46.42s 


52 


6.432 


'5 


4 37 


*9 


296 


22 


512 


25 


728 


28 


944 


32 


16 


35 


37<-' 


38-592 


41 


80S 


48 240 


53 


6.684 


16 


041 


20 


05a 


23 


394 


20 


730 


30 


07S 


33 


42 


36 


762 


40.104 


43 


440 


50.130 


54 


6.940 


16 


656 


20 


82 


24 


29 


27 


70 


31 


23 


34 


7 


38 


17 


41.64 


45 


11 


5* -o5 


55 


7.198 


17 


27 5 


21 


504 


25 


193 


28 


792 


32 


39i 


35 


99 


39 


589 


43.188 


46 


787 


53-985 


56 


7.462 


17 


009 


22 


386 


26 


117 


29 


848 


33 


579 


37 


31 


41 


041 


44.772 


48 


503 


55-965 


57 


7-732 


18 


SS7 


23 


i 9 6 


27 


062 


30 


928 


34 


794 


38 


66 


42 


526 


46.392 


50 


258 


57-99 


58 


8.006 


19 


214 


24 


018 


28 


021 


32 


024 


36 


027 


40 


°3 


44 


033 


48.036 


52 


039 


60.045 


59 


8.284 


ig 


Q02 


24852 


28 


964 


33 


136 


37 


278 


4 1 


42 


45 


5"-' 


48.704 


53 


846 


62.13 


60 


8.566 20 


ssS 


25.698 


29 


981 


34-264 


38.547 


42.83 


47-U3 


51-396 


55 


679 


64.245 



HANDY TABLES. 



49 



o 

en 
< 
X 

w 

IT 5 fc 

> O 

rS to 

■ 2 

< 
< 

w 



VO^O w Tj- 









jo inaD jaj 



10 







o o o 1 ? 



OOO t^- t-vO VO I. 



o o * 

two vo vo 



> O O I OOOOJ oooo o 



j ooooj i 



So 



HANDY TABLES. 



> - 



I 

I 
I 

I 
.8 

o 

I 

A) 
O 





►9 ^ 


1 









M 




1 






















S 








w 








c* 








„. 


h-^' 










£S 








< 


H 















X 
O 

5 


c; h 

pL,ttJ 








3 








s 








u 








C/) 






•a fc 
















a> rt 








fo£ 






w 






















h 
















w 


h 






















H 


03 u 






— 
























{j3 








w 








£ 
















be ft, 

3 bo 






















D 


QbO 






S h 






t/> 


$ 3 
















c/5 bo 






Oh 








e c 
























eg* 








w 








a 
















e 













i 






< 






s 






w 






ti 








•sjiun 






§2 


-?B3 H 






£« 








w 


•S33J33Q 






/C 






•Suixnuj 






JO 3SBJU90J3J 






x- 






'JS13TUUO\e^ 






o;ui uru uiBaqs 






i?-f = y 






jai^M. ra0J J ^ 3 H 






,? - X =ff 






UIB3:S UIOJJ 1B3JJ 






/? =yX/o 






•a3j3UiuojB3 oj 






pauajstiEj; leafj 






h§ • 


^ 




H 


g§S« 


•UIB3JS 












H 




; 




m 


£pH 


•JSJEM. 




fc 






^ 














s 






be 1 




P4 




M 


§- 




(X 




S 


tf II 
















W 


















0< 


s 

w 
H 


£ 






"c5 






§ 




'5 






o 
















-1 




~a 






< 










u 


H 
















a 


bo 










c 


















£ 


C Ck 

lis 


















U 






°SHHnSS3Hd 






-IAIV3XS 






H 
























H 






d 










S 







HANDY TABLES. 



51 



I 

l 

O 

I 

ft; 

o 

.2 
5 



S5 





8 


< 

s 

H 






•anaixsnawo3 

TViOX 


.O 






prig ibjojl 

UOTUOdOJfl 


O 

a 




"Fiox 


£ 




h 
O 

■z 

H S 

|£ 

z 

U 


unoq jsd 
93Bjjns 
-3unB9£i jo 
•Ij'-bs J3J 


JS 




unoq 

J9d 9}BJQ 

jo jooj 
gjsnbs J9<j 


5 




ie*>x 


5 


a 






c 


c 

C. 


-UIB9J§ 


^ 


£ 

U 


•jgjguiojBg 


a 






•J91BAY 


J* 

to 




•A9uunq3 
oj aDUBJjug 


is 




•Jiy 

IBUjajxg 






•raooj 

- J3 u°a 


fe 




•aDVJHHS 
-OMIXV3H Oi 
3iVH£) AO OliVJJ 






< 
K 

< 


•sanu 

JO UOH09S 
-SSOJ3 }SB9q 


cr 




•gosjjns 
-3anB9q 
-J9dng 


a* 




•aoBjjns 

-SUIJB3H 


cr 




•SlBjr) 


o 1 




•Tvrax 







"IV1HX JO HJ.VQ 




c 

e 




-nrrax 

do aaaiva^ 





03 <U 4J «-. 






•3ir.3S3jd-tnB3js 

IBTUDB JB pUB "J 

eiz uiojj juaiBAinbg 



•g eiz JB 
paB taojj ju3[BAinbg 



•9jnss3jd 
taB9;s ibhjob ;b pub 

J9}BAV-p99J JO 94m 
BJ9dU19I IBtUDB UIOJJ 



rb^ 



•9inSS9id-lUK91S 
[BRIDE IB PUB -g 

eis uiojj 5U9[EAinbg 



•g o ZIZ IB 

puB uiojj iu9iEAinbg 



•gjnssgjd 

-UIB91S \BmOB IB pUB 

j9lBA\-p99j jo 9jn; 
-Ejaduiai (BnioB aiojjj 



•3anss9ad-aiB9js 
jBmoB ;b pub -g 
cis mojj iu9iBAinbg 



■A ziz IB 
puB uiojj 5U9[BAinbg 



•gjnssgjd 

-U1B9JS p3lUDB IB pUB 
J9IBAY-p99J JO 9JtU 
-BJ9dCD9J p3niDB UlOJjJ 



•3jnSS9Jd-UlB95S 
[BtllDB IB pUB -jj 

ns uiojj 3U3[BAinbg 



puB mojj }U9[BAinbg 



■gjnssgjd 
-raB9;s ]Bn;DB jb puB 

J9;BA\-P99J JO 3JTXX 

-Bjadaai ibtudb raojg 



fe ^j 



9jnSS9jd-UIB9}S 
IBHJ9B IB pUB - J 

siz mojj jU9[-EAinbg[ 



paB mojj juaiBAinbg 



•3an6S9jd 

OIB31S JBTUDB je pUB 
J9JBAi-p99J JO 9Jt\J 

-BJ9dai95 p^nioB raojg 



•9.mss9Jd 

raB91S [BmDB IB pUB 
J91BM-p99J JO 9Jm 

-B.i9dm9i jFniJB raojg 



9jnS39jd-OIB91S 
IBnlDB IB pUB ^ 

ziz uiojj luajBAinbg 



•jj SIZ IB 

puB uiojj ju9[BAmba; 



•9jnSS9jd-ttlB91S 
VErU9B IB pUB -g 

ziz uiojj iu9|RAinb3 



•^ ZI3 IB 

puB uiojj iu9p3Ainbg 



•gjnssgjd 

■UIB9IS JBmDB IB pQB 
J9IBA\-p99J JO 9JIU 
•BJ9dtU9i [KniOB UiOJJ 



52 



HANDY TABLES. 



^ 



> 
X 





1 

111 
ft! 




< 

w 
> 

K 

R 
o 

I 

n 

w 
h 

<: 

O 

< 
> 

W 


Equivalent 
from 2i2° F. 

and at 
actual steam- 
pressure. 


1 


'lis 


JS 


From actual 
temperature of 

feed-water 
and at actual 
steam-pressure. 


jQ 


P H £ 
O < S 

*** 


£ 


W 
O 2 


C 

u 


i 

o 
CQ 
o 
H 

Q 
w 

b. 

K 

W 

1 

►J 


Equivalent 
from 2i2° F. 

and at 
actual steam- 
pressure. 


s 




jQ 


From actual 

temperature of 

feed -water 

and at actual 
Jte^.m-pressure. 


J3 
j 





1 






K 

W 

o 

O 

EC 


•reniov 




•pajB^ 




ni #■ onv p jo samv^ 


* 

^ 




u 

s 


•pajBransg 
•reiusmiJsdxa 




•psjBunjsg 


c 

a, 


•jBiuarausdxg 


c 

a. 


^ z 

m H 

« < 

ggl 

< < a 

K > > 

W 


unoq 
jsd 33Bjjns-Sui 
-JB3H jo '%} -bs is j 


£ 


•siqnsnqmof) 
jo puno<£ iaj 


.£ 


•pnj 
jo punojjaj 


X) 




•SunBsqjsdns 
jo lunotuy sJSbjsav 





HANDY TABLES. 



53 



> 

X 



8 







•Suuds jo sibds 












< 

PQ 


•d h 'a 






•pBoq 






•l«loj, d *H 'I | 






2 


'd *K I 
















u 


daw 










< 
EC 


'd H "I 




en '. 

a 

G 

CD 
aS 
cr • 






"d 3 'H 






5 








"jajBAv-uopoaCoi 






•J3JB.«-p39J 






•OIE33S p3SU3pCI03 




4-. o 

ft GO 
C 3 




< 


Id 

o a 


•IsnEyxg 






•J3PUIJA3 




«S ° £ r 

s 5 I -a 

< Oh C/) W 




•isaip-m-eaig 














•3did-rnB3JS 




<8 " 

II 


• en 

• <u 




*J35B.lA-3SjBqDSIQ 






•jaiHAv-uonoafuj 






•J3JB.W.-p33jJ 




C J3 o 


•ranais pasugpucQ 




o -S -a a" £ .2 
■ ■ j* ft "1 « 


•mooj-auxSug 




Diam. Pistor 
Diam. Crank 
Length Cran 
Diam. Wrist- 
Travel-valve 
Lap of Valve 


•JIIV IBUJ3JX3 




3 

z 



< 

s 

< 



bib 
X 

Xi 

c 


•J313UIOJBa 




•J3SU3PU03 












'istveqxg 




<u 




en 

.s 

CD 4 
T3 J* 




•a 

3 

(2 


•jsaip-uiBaig 






•3dld-UIB35S 




^ 5 : 

£ : 

en „ I 




•jaiiog 








\IO}EDtpUI-p33dS 






U3iuno3 snonunuo3 




ffi U ..go 


•araij, | 


U ffl Q J 






•jaqum^ 





54 



HANDY TABLES. 



VOLTS OR AMPERES. 






m 

w ^ 

h h 
> , * 

O 

<J 
u 

3 

H 
O 

w 
w 





h « n^ mto t^oo oomsco* into t»oo o» O 

„MM«MM«M«M« 










lOOOOOOOOOOOOOOOOOOOOl 
OO NO JWOCO'O *«OMO -tCIOOO^O >* CM O _ 
O VO roO STCOt\1-H W +MM U1N03 in !N OnnO O 

« o >< 2 ^^S C r cm cT 10 °" " *m° ^- i?°° °3 N 

|NO N00 tJ-O'O MOO TJ-O^O (N00 Tt-O^O CM 00 ■«*• O 1 

■*- o^ moo co ts. cm no >- in o in on •* en moo » Ml 

OlU)0« HNOCO rOON^j-0 in NO m ninoo coon CT> 
m CMint-sOcMinrsOcM u-)00 m moo m ir>oo O t-i 


00 


CM Tl-NO 00 O CM 1->0 WOO -<tNO 00 O CM "T'O 00 
m CM m -TVO ts.00 ON CM CO ■*■ lONO ffl O>0 h N t 
(N ■* Cs On CM -*\0 ON hi 5-no 00 H m^ OO K n inoO 


00 


t>. 


ts. in m h onno -<i- w o oo mmH a, is. f cm oo no 
cm £no <> m ^m inoo c? *"* Si Ps* *S M "* ^ 2 N "^ 
oqoqwMM > ««gNN s S'M ^n% 3- ? £ 


& 


IQ 


^1-00 CM NO O -J-CO (N NO O -"S-00 CM NO Q ^t-00 fHO 
•tf-00 rON«>0 inONTj-OO a ShiO -*■ On moo 
mis-* Lnts,oo o w cm ti- lo rsoo m m ■*• in ts.00 
cm tj-no coo n m> ts. o M nulNON ^t-vo 00 O CM 
qqqOM«MwM e ,oiNcim e rjmroro-<i-sj- 


>o 


ID 


OOOOOOOOOOOOOOOOOOOO 
h cm m-*ioNO t-soo oo « cm m^ ioo tsoo on o 
0000O0000m"mhh m hhmhcn 

CM "*NO 00 O CM -a - NO 00 O CM -*NO 00 O CM ^t-NO 00 O 

q q q O w h h m H„cic(cit(commmm* 


m 


* 


O CMOO ^O-O CM 00 tO« CMOO "^O^O <N00 TT 

oo t~~NO in co cm m o oo ts.<o in ro cm m oo rsNO m 
m m in rs o>, m ro mvo oo cm -<j-no oo O m m m ts 

°.° . °°. H ." H ." MBt l t ! t ! ( !? r ? r ? t ? 1 


Tf 


co 


CM TTNO 00 O CM -4-NO 00 O CM "3-NO 00 O CM tTNO OO 

Ti-oo cmnOm ino-mt^eiNO -^oo ro <~~ H mo>* 

ts ^- N On ts, ->J- H ON NO ^- m OnNO en M 00 vo m 00 
m roinNOoo w ro iors on cm -<frio, NO\ w m tJ- 
OoqqoHHHH M H«ci«e,SNmmro 


CO 


a 


00 NO tNOOO NO^ «OOONO_t-CMOOONO tMN o 

NO CMOO •'J-O^O CMOO Tt-ONO CM ONin M ts-COONU-jM 
H CO -TNO 00 ON M CM -tf-^o ts ON <N •<*• in t^OO O CM 

OOOOoOMHMljMH(t(i««(isnn 


« 


a 


rroo cm no o -*oo cm no o *oo cm no O -*oo CM NO 
-^ on ^-oo rooo rpts.cMts.jjNO wnom mo ino •<*• 

h b ^uiisco h rorl-NO no\On M mNO oo On 

o o q q q q « w w „ « h h (n N n cm n c* cm 


a 


o 


0000O0 OOOQOOOOOOOOOO 

M-00 CMVOO NiOO NVO O ""1-00 CM NO O -*00 CM NO 

mNO mts.o rotsO^-tsQ ^ts M -^-ts.H tj-oo 
h N ■* intf) OO On O IM CO -*s5 Cs.00 o H N "* "^^o 

OOOOOOOHMHMMHMJJ8S(I«« 





01 


NO CMOO Tl-ONO rM00*O^ 000 -<fONO CMOO -*-o 
hi w CMCOCO-^-^rOvONO NNCO &ONO O M CM 
CM -tf-NO OO O CM -<J-\0 00 O CM Tf-NO OO O (IIONOH 

h a m ^(o ts.oooNo t roTj-inooooo m cm sj- 
ooqooq ooSh^hh^hcinncT 


Ci 


00 


CM -"1-NO 00 O CM -*NO 00 O CM -*VO 00 O CM -*NO 00 
N-<i- MCOlO coo rs-^CM] ONNO -j OO <o CM ONO •*■ 

h M wen* lO ipNO ts Cs.00 o>0o H « « m* 
hi cm ro •* irjvo rsco ono h cm ro lOcn tsoo oo h 
q q q q q<5 q q q S h m m 1 m^S h m h cm cm 


00 


ts. 


rots." incTicMNO O -*co hi inomtsO tj-oo cmno 
ooo oo tsicj \o ininTj-cococMMHO Onoo oo fs 
H! cm co tt mNO csoo otO h w cutui mNO rsoo 


tN 


VO 


Ng-OO CM NO o -*oo CM NO O ""'"OO CM NO O -*00 CM NO 

OOmmcjcmcmcoco ^-^ Tt m \n\o no no rs isoo 

oono * n ocovo -t n n°o id -t n oco>o ■*cm o 
hi cm ro ii •*• mNO rsS M ftO mn cm rosj- mNO 

OOOOJooOOoOO-hShhhhm 


U3 


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oooooooooooooooooooo 

rs ->}- M oo to CM onno roo ts-*HCO inN Onno ro O 
no coOnOcoOno rO0ts.ro0 NmQ Nroo t^* 


to 


- 


NO CMOO Tt-ONO CMOO Tj-ONO CMOO ^ONO MOO -*0 

oooooo'oooo'ooo O M M 


- 


. 


CM ThNO 00 O N *NO 00 O CM Tj-NO 00 O <N ^VO 00 

OOOOniHiHiHiHicMCMCMCMCMrororororo-* 


CO 


w 


OO NO g- N O OO NO^ ^ CM O 00_NO +NOWIO J CM ^0 

oqqq3qqqqSqqqqo"qqoqq 


- 


H 


roS ^roPs "ro rt^o Tf ts °o ^- ts. 2 5^ h %£> 
H CM •*- IOVO 00 O CM CO ^no rsoo o M cm •*• mNO 

00008000000000000000 


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H«n\r iovo r^oo a\ o m « ro -^-i/ito ivoo ct> o 1 



•saaadiMv ao sxioa 



5 
1 



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ii 11 11 

u 



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5 a 









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a- ™ 

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O u ** 

f,^8s 



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u 


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Si 


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1 



HANDY TABLES. 



55 



X 



a 


O^OoO OO t rt too O OO m Omrvfl O OO tO O CO t O too O 
r^ >-< o co r> oco n« 0>0 O m TtmH m h « nn o^\0 o h o Oco t 
o cm r-«o O m o o co o co in o too m 't h co co o t r^ O ►-< cm o m 


OO m r>iMO O m o coo O t r^ O coo on t r^ o o to O m coin 
in co O ir>OCMO OCMO OcoO OcoO OOO OM in O O ir>co CI in co 
i-< >-i o) o o cococotttmin mo o O r^ r-^ r^co coco OsOOO O O 


00 


in Oco ho TtTt coco OO OincOMcococo OO w coinr^or^inco 
O m O co o ino o cocm >-< t ts h t co co o inrN^f t« t O coco O^ 
vo O o m in m moo Oco inMOMcocoo>-.coini-<^Ninr^.OOO O 


O o co coco cor^M in o co r^ o t r^ O coo oo m to O <-< co inco O i-> 
ti-co m inco cm moo in o O O OOO OO inoo inco cm >nco « inco 
H H CM CM CM COCOCOtttmininOOO tNtNt^cOCOOO OOOO O O 


- 


»nco oir^Mco r^O <* m OO t O w cocotteor-^to ooo r^o>-< co 
£* ST£* £ 2?£!?:i£i n .if?£'£ c ££ > ^"^ n . T *" ' s Oco co cm o m r-> o co 
OOOOOt^HH^mn-i-ir^cor^oO Ooo in coco ■* o co tt f^co o r» 


co O t O in O too cmo Ocot^O t r^- O o inco O comoo O o to co 
hh i-i cm o cm cococotttmin ino O O f>> r->. r^co coco OOOO O O 


co 


Ot^CM r^oo r^ o m hoj cm t~*. m r^ coo oo co to inOeor^coOinM 

OO t O in in O O CO £-. O coco t >-i ino in n co t O coOoo O^^O O O 


O in 1- O mo O t O coo O cor^o coo Oo inr^o O mM>n coin 
toi~>H -fco m inco h inoo o inco o inco w inco h inco m t r- m tN 
h m o o o cncocnft^-iniri mo o o r» r^ r^co coco OOOO O O 


ig 


co inco O co O co O inco inoco o O Oco O O co co in in in inco co co co 

t t O r^o t> t^o oo en n ci o OO r^i^oo O^^o O^O r^o in o h 
r^oinooco o int^o ■tO'O m ^j- t co o o r> o o too O o t m i- 


»n m tsNoo o r^M in o co r^ O 1 1^ O coo Om ^-o Om to co O o 
cor^O t r^. m too m too <-< inco m inco m too m ^ r^ w t r^ O "* *"> 
m m o o o cococotttmininOOOr^r>ir^.aococo OOOO O O 


* 


co co t r^» O co co t in m co o wNh ino O O Oco eoomw w inoco 
co intcor^cocoti-i OO Oco inco Ococo OOcoO t co co t t O co 


oco t O t O coco oo O cor^O t r-» O o inco w cooco o comr^o 
coo O co r^ o ^jnh too m too t-c too m t i^ m t r^ O t r^ O coo 
•-• >-i o o o cococO'^-'rt'^-inininOOO t^t^r^cococo OOOO O O 


09 


OOeor^i-io O^-Om oco Om or^cococoinMOO •rtO co m o t^ 
Oincoor^r^coMOMOcocoi-inoOcot-'i-icori-OO'^-'-'coO'i" 
Tt t^ tj-co O co co r-» o C'O co O ^ i^co t-»0 in o co ^ O -^O co O m O 


co rfO ioh inO ^-co a ^O O cor^O coo OO mNO comr^oo t)-0 
oo O cor^o •^■t^O rj- r>« m rj-t^H rti^o ^r^o i-tsO coo O coo 
m hm o o o cococoTt^'^-inin ino O O t-» t-^ r^co coco OOOO O O 


<M 


r^i^rtMO O m o inr^oco eocomr^co Ti-rtco o incoM ocomr^o 


^■i-iOor^ooi-HinocooO'^-r^Ocoo OMx+r^ooTtocoOo 
ooo coo O cor^O cor^o rft^-O ^tr^o cor^o coo O coo o coo 
m m m o O cococO'^-TtTtinininoOO t>r>t>oocooo O^ O^ O^ O^ O O 


- 


in tJ-o O^O oco O "to OO cocoOinOcoco O oco OO O oco -^-O 
m M co O in o co "■TO OinOMi-iOOO CT^^O OOOOcOMinOOr^ 
O incor^O O'i-co O >h omo t^ h o o O 0<2 coOmOO eoinr^O 


m rococo -too cor^oo 0cor>-0 "tt^O coinco m cooco m coint^o 
O in c^ a ^D Ocoo O coo O cor^O cor-^O coo O coo OcoO Oo in 
MMMNNcinoi't'tinin ino o O r^ r^ i^co coooco OOOO O 


o 


ooooooooooooooooooooooooooooo 

coco r- o in ^j- O "to r-» in m co co i^ o Oco o como o t^O"-" co m "t 


r^eoOinO inO too oo O cor^O coo Oo inco O eomr^O o to 
m moo OO Ocoo Ocoo O COO O coo OcoO OCOO OOO OO in 
MMtHOOOcococoTftinin ino O O O r^ i~- r>.co oo co OOOO O 




CO ^" inO i>«co O O h o co f ino t^co O O m o co f ino r^OO O O m 





56 



HANDY TABLES. 



*~-. 


fi 


** 




^ 
8 


& 

h1 


J? 


pq 




< 


fl 


£ 



£ 

£ 



w to co n«mn«n coco o t n o co o «* m oeoor^eoowi-ir^ 
intxr^minco m t n O co 10 t toco co 000 on n co n co too r^. O O 
w Ooo to t N OO m O OmahvO O 'tO CO O O Ooo O co O m M co N 

n 00 n to co o m n co to r^co o t- 1 n tortoo r»co o w w co t «o 
m Ttoo m rfi^O nt^O COO O N «o ON 10 co m t N O to N O coo O 
m m m n m n cococotttt»oio too O O t-» r^ t^co co co o O O o 



too MO 'trl-rJ-TtTtrJ-Tj-rJ-OO NOO -tOO Noo t O (OinM>H co 
toco O OO O too mo O OOO tor-. 1^00 n MnmH n r^o O r->. 
Oco r- co N hoo t O too tno^moN to r^oo oco MntNO^O ►-• n m 



co to n O w co to 00 00 n co too co O O h n co t too l^OO m n 
w t N O rj-r^O coo O coo on toco m uico m t r^ o coo O coo O 
m m m n n n Mmcnntttinm 100 o o x^ r^ r»oo co 00 co 000 



r- r~> 10 n O OO coco coo N co coco m to r^oo r-o t u 



O N tO CO O M CO tO NO>ON I 

m t i~- O coo O c~0 ON <n O^N ' 

l_l i_i M CN M N COCOCOCOttttOi 



> too l^co 00 ih n t<Ttmixoo O 
>co -1 t r- o t r^ O coo On 1000 

> 10O O O M^ noo 00 00 00 O^ O O 



CM Ocoo t t t t t t tO CO O M tO co O M -tvO 00 MNh to O co 
to 1-1 to co t O O M 00 to r^MO com cor^M Ooo C^^O 00 win Ooo 
10 w co O co N to m r^M to O O MO O co too i^O to co tO co O O O 

M>h fl tO CO O m CO tO I^OO M CO t too l^CO m M CO t to 
O co r^ O coo otnNON ir>co w toco 1-1 1 1^ O coo O coo O m 1000 
m m m m M M M cococo^-'^J-Ttinioinooo r> i> tN r>oo 00 00 O^ O^ C^ 



OOOOcococococococo 

CO Tt M ^O IT) C^ ^ 



000 

_ M O M _ 
C -tCMnO ir>C>M rt 



OOOOOO o 00 (O to to CO CO 

O M O M O O M COO CO rf O^CO 

\0 u->cocoint^cocooo 



rfo 00 c^h co ir> r^ 00 O m m "^-o r^oo o m m co'tuio r^oo o O m m 
O coo ocoo OM mow inco i-H i-r>M rj-r^o coo OM inco m u->co 
m 1-1 m m m m m cococo-j-'^-Tl-ioinioOOO r>. t> t> r^co co 00 O^ O^ O^ 



OooOMOOOOOOO^l-MOcoo-^t-MOcoO'^-c 

^"M OtOOcOO rf M OCO COO 1-1 t^.O r^O u-> m O m "5 

m m t^MncnMoo rtOM r-»coocor^o co-^-voin'^-c 



1 r^ co o 10 m 

1 «- M CO O O 

1 ^j-o rNM^ 



M CO rrO CO O M CO mvO OO O M M rf t 

O coo OMO OM woo 1-1 Tfco m tj- r 
m m m 1-1 w oi w tntoci-tt^-vnini 



i r^co c> O m m co ^- ino r-»oo o 
• O coo O coo O M moo h i-t> 
>0 o O f^ r->. 1-^. r^-co 00 00 o o O 



mo O tr^t^r^r^i^r^ t^o mco ^OO mco -^-or^M «+ o 00 O m rf 
rf co i-H o O Oco r^O 10 ^o O io co co 'i-oo com « moco n O coOO 
O Oco to co m 00 m r^M mo r^MO Om co^--tcow O co w\o O O 

r^ o w trnoNco o m cotnooo 01-1 m covno r^co OO *-> m corftno 
r^O COO OM inotl vnco m -fr> 
ino o O O I s * r-- r^.00 co co O O O 



I UOCO M tOCO H -tNO ^t 
I M M COCOCOTt-Tf-j-ir>u-> 



■< O O co O O O Tfc 



... 1 ON 
._ -1 O O M CO O 
' O M COCOM O OM COuoiOVO 



toco O M "tviNOO M co ir>o co O O M co *1- too i*» r^ O O m m co 
OM 10 ct^ <N tnco m rfco i-< tNO COO O COO OM inoo t-i -TOO f -t^ 
hi m 1- n m m cococo'^-ri-'^ioin ir>o O O O r-» r~> i^co co 00 O O O 



coo ftM i^r^r>.r>»r^»r^r^o m to co o m to co O m ocor^w too 
M ttM m n cottnO rococo in*incH-tH O m »r>0 Mco nhco O 
IDlDrtM Ocoo motto Mco tOcoo O m w M m Ooo O M ttt 



,_; 


co 




r^ 


rX 


n 


ri 


•i- 


in 


r-»co 


n 


M * 


CO tvD 






M 


CO t to 


r^ 


nrj 


OO 


O M 




00 






r.'l 






r-> 




r^ 


n 






O M 


IDCO >-i -t 




O 


co r^ 


O 


2 


JH 


2 


04 


C! 


C) 


CM 


M 


co t t t 








r^ r^ t^oo od co 


Ov CT. O 



OOOOOOOOOOOOOOOOOOOi 
M lOO to M tO CO O M tO M O O M O M O ( 

co co m o r^o t m co cni^o r^ coco m toco O 1 



OOOOOOOOO 

MO M OOO Oco O 

m o or^o>-( cocot 



00 o m ttor^OM m t»o r^.00 O 
co M 1000 i-i tNH t r^ o coo O 

OMMi-iMMMCOCOCOttt»0 



* cotior^-co OO O m m ttoo r^ 
no O M inoo m toco m t t^ O COO 
otoioooo r> t> t^co co co O^ O^ <J> 



HANDY TABLES. $7 

XX. 

HIRN'S ANALYSIS. 



Data and Results. 

Test of Steam-engine made by at , 

Kind of engine. Diam. cylinder Length stroke. 

Diam. piston-rod Vol. cylinder, crank end Vol. head end. 

Vol. clearance, cu. ft., head Clearance in per cent of stroke. 

" '* " crank " " " .. 

Boiler-pressure by gauge Barometer , 

Boiler-pressure absolute Boiling temp., atmos. pressure.. , 

Revolutions per hour Steam used during run, lbs 

Quality of steam in steam-pipe Quality of steam in steam-chest. 

Quality of steam in compression Quality of steam in exhaust 

Weight of condensed steam per hour 

Pounds of wet steam per stroke Head Crank 

Temperatures condensed steam , 

Temperatures condensing water, cold Hot ...... 

Pounds of condensing water, per hour Per stroke , 



Symbols. 

To denote different portions of the stroke, the following subscripts are 
used : 

Admission (a)', expansion (5); exhaust (c); compression {d). 

To denote different events of the stroke, the following sub-numbers 
are used : 

Cut-off (i); release (2); compression, beginning of (3); admission, begin- 
ning of (o); in exhaust (5). 

Quality of steam denoted by X. 

Cut-off, crank end per cent of stroke Release, crank end 

Cut-off, head end per cent of stroke Release, head end 

Compression, crank end per cent of stroke.. . . Lbs. steam per I. H. P 

Compression, head end per cent of stroke.. . . Lbs. steam per brake H. P 

I. H. P Brake horse-power 



58 



HANDY TABLES. 



XX. — (Continued?) 

DATA AND RESULT? 
Per ioo Strokes. 
_Engine. Date 



_i&*9 







% 
> 


Formula. 


Results 


Quantities. 


d 

u 

X 


c 

U 


Weight steam per ioo strokes, lbs 

Weight of steam in clearance, lbs 


M 

Mp 

M+M 

G 

K 

Q 
0. 

H x 
H x ' 

Q* 

AY 
c? b 
H e 

H z 

H 
H 4 

Q 
Qc 

H h 
H' 

c? d 
Q 

B 
D 
D> 


V (Wt. per cu. ft.) 






^0 

G(St-S{) 








Heat given to condensing water, B.T.U. 
Heat supplied engine, B.T.U 

Heat retained by compression, B.T.U .. 




M{XL+S) 

M S + ^\ 

Co 
(M-\- M )S X 




Internal heat steam at cut-off, B.T.U. . . 

Cylinder loss during admission, B.T.U. 
Loss sensible heat during expansion — 


Cl 

(M-\- M )(S X — S a ) 






c 2 
H^-\- H x ' HJ faW^ 




Cylinder loss during expansion, B.T.U. 




(M4 r M )S 9 






M S 3 






C 3 
MS&. 










M(XL 5 -f- S 6 ) (per calorimeter) — 

jv e 

H$\- H^' — H 3 — K — 7/3 — H 

77b 

w e 

H e + H^' — HJ — H 3 — H4 -• 

770 

M (S 3 — S ) 




Cylinder loss, exhaust, B.T.U 

■( t( M t< 

Sensible heat, gain during compression. 




Co 

Wa 




Cylinder loss during compression, B.T.U. 




Heat discharged and external work. 

Loss 


H c -\rK+to\.a\ lV-*- 77 & 




Q-B 






n+O*+O„+0A ... 











HANDY TABLES. 



59 



PS 
W 
P 
g 

U 
P 

w 

H 

W 

U 

< 

< 

w 

H 



< 
PS 
D 
H 
< 
en 

!> 

PS 
P 

w 

S 

w 
o 

en 

W 
P 

u 

o 



•30U3J3J3^I 


H n ro 


<*- v> VO IVOO 


31 


M 


N 




m * 


m 


NO 


o.o 




joj jaqiun^j 






























ON 






m 


















mo oo 


















•' M • ON 




E H - 


ON 


X 


O 






















o o m i 
















» 


m o 


I oo rn o • V O- 


if 


o' 'S 


5 


VO 


i ° 




o o m 


cT NO 


w 


en vo 


VO 


N 


ON 
























M M J^ 












-vi- q 


fc 






M 


M 


N 




N 




















o 




o • * 


n m n m t-. o r-s 












h 


ST 


m t^. in • h j>-oo m • -<»■ 


% 


H VO 


« 


CO 


m o 5 








0> • • ■ ON 












u 






















S> 8 ? J 


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CO 


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b. 


c?m e? »n 


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m 




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m 5 • t> -wooMin-m 


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to 


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■O *a T3 "O T3 T3 T3 S\T3 . "O 


3 


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X ° 




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a a a e 

3 3 3;: 


a as i a i „a 

3 3 3T3T™3 


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1 1 TXS' « 


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! at point 
are inch. 

end, in e 
yhnder, i 

t per min 
essure up 
are inch, 
expansio 


"o 


8«^to 


a 


ojs 


.G 






horse-power t< 
initial pressu 
per square im 
>sure, pounds 

rnt-off 


a 

*j d 
'go 


rial-pr 
are inc 
ovver 
h of pi 




c 


13 U 

.5 c 


H ?- 

2 c 






pressure 
per squ 
! at each 
gth of c 
eed, fee 
olute pr 
per squ 
ratio of 


tic 

O rf 


~ 3 &o 
'!« OH 


.2 • 
o u 

Ji 3 


O rt 
u 3 

v <y 

a o 

.2 c5 


o. 13 

"o "^ 

-^ "o 






bsolute 
pounds 
learance 
lent len 
iston-sp 
'ean abs 
pounds 
pparent 


11 


vU-S > 17 

C 3 oo 


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6o 



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^ 



55 




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Q 
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make fins 
essure and 
re equal. 
m of rati. 

sure, pou 

hion-press 

inch. 

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2, and cush 

inch 

:tive pressi 
i inch, 
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.£ 


in o S E l" £ 3 >- ^3-G "> u)<uv-5<u^^ u tc 

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press 
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Cu3cSv, rtQ. £a-^<-.c:3dcI;3™3^3™ 




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<urtp-<uaou w ? >^y.S o.<u q.v p,aP p-o B 13 






£ 


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s 


s 


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2 £ SB 



HANDY TABLES. 



61 






"*" "^ % 






W 
Q 

u 

D 
W 
H 
W 

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w 

H 
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62 



HANDY TABLES. 



W 
O 

2 

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Q 
W 
H 
W 

U 
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W 


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55 



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c foot 

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ly for 

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units, 
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ly, on 

Pere 

horse 




a cubi 
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hourlj 
placei 
ringe 
are in 
ffect d 
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[ hour 
n. 

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n. 
inche 


8 


c§2 1 




«j.w.!2 3 a <u 


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pounds ( 
at pressu 
steam us 
>y piston- 
pressure 
mds per ! 
lechanica 
a to tot 


nits of heat requi 
the work of expan 
atent heat per pou 
pressure B, British 
ounds of steam cor 
for work of expan 
hickness of pisto 
nearest half-inch. 


D 

•a *J 

a a> 


ondensat 

lurfaces, 

consum 

ourly, pc 




r eight in 
of steam 
ounds of 
culated b 
ean total 
sion, pou 
atio of a 
expansioi 
effect. 


£ 3 
OJ u- 


robably c 
internal s 
robable 

steam h 






£ Oh S 


(4 




P 


J 


P-, 


H 






Hi 04 O 



Handy tables. 



63 



CS 



X 
X 



DS 
w 
o 

g 

u 

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6 4 



HANDY TABLES. 



<o 



X 

X 



> 

H 
U 
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£ w 

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^i«^"k,v». >4 ^^Qco^ ^^; ^ & ^ ^ cq § 




If ANDY TABLES. 



65 



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X 
X 



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> 

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53 


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i : 0.8-0 -8 g s c 

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66 



HANDY TABLES, 



•30U3J3J3H I 00 



o 
h 

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Ph 


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5-1574 

5.808 

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37-5 

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17.8 

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VO - ro O 


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00 t"- OO-wi^lOO N vOt^OON 


3JIOJ1S 
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fc : * : : °1 s ° 




HANDY TABLES. 



67 





•33a3J3J3^ 










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for 

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68 



HANDY TABLES. 



G 



X 
X 









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CO VO WOO oo o> 








| "SSS-S?^^? 












MOOVO 0> "I "TO >0 
VO ro m Pi rovo '■O 






35 








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w 

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ted for 
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ston-dis 
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SB 


53 
c 
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Correc 
Cushic 
Correc 
Probal 




















-s s 
















s a - « *L 








a c «3 " >> 








ean pre 
pounds 
square 
robable 

ounds o 
hour 
















i 






Ph 




Ph 









CO . 

H < - 
on £ 

I ^ 

w S 

0> Q 

W £ 
Q O 

S ° 

3 h 

> 

w ^ 

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to as-- 1 



+ 

o 

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HANDY TABLES. 



6g 



XXI. — ( Continued?) 



NON-CONDENSING ENGINES, UNJACKETED CYLINDERS, STEAM 
SUPERHEATED SUFFICIENTLY TO PREVENT CONDENSATION. 



Probable effective horse-power. 
Pounds of steam used pe r a e f'_ 
fective 



hourly, calculated by 
piston-displacement. 



I H. P. 



"o 

a 

CO 






Po 


NT OF 


Cut-off. 






Full 
Str'ke 


H 


^ 


M 


H 


% 


Va 


1 

15 


Q 


150.6 
5851 

38.8 


151-5 
5539 

36.6 


148.8 
3963 

26.6 


147 5 
3494 

23-7 


150.6 

3328 

22.1 


148.8 
3268 

22 


149.8 
3627 

24.2 


150. I 
3925 

26.1 



Ctf^ 









Pounds of steam 


Point of 


Pounds of 


Effective 


hourly, per 


Cut-off. 


steam hourly. 


horse-power. 


effective 
horse-power. 


Full stroke. 


5883 


177 


33-2 


H 


5582 


178.9 


31.2 


^6 


4°34 


180.2 


22.4 


^3 


3611 


188 


19-3 


3 


35o6 


202.3 


17-3 


3619 


228.6 


15-9 


y* 


4031 


257-3 


x 5-7 


a 


4480 


321.9 


13-9 









H 



H 



^m 






■ 



,4{5JSJ5X 0F CONGRESS 



[0 029 822 375 2 



I 



■ 



H 






: rhzf. 



m 






